X010 Trigonometry Find Angle From 3 Sides

Approved & Edited by ProProfs Editorial Team

The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.

Learn about Our Editorial Process

| By Anthony Nunan

Anthony Nunan

Community Contributor

Quizzes Created: 132 | Total Attempts: 44,890

Questions: 30 | Attempts: 59 | Updated: Apr 21, 2023

Questions

Settings

Feedback

During the Quiz End of Quiz

Play as

Quiz Flashcard

Create your own Quiz

X010 Trigonometry Find Angle From 3 Sides - Quiz

When asked for a fraction, do not simplify ie if the answer is 2/4 do not simplify to 1/2

Questions and Answers

1.

$The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a tan ratio, what fraction will be created for the inverse tan calculation? - ProProfs$

The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a tan ratio, what fraction will be created for the inverse tan calculation?

Explanation
When finding the inverse, we create a fraction from the two sides. Sin = 0pp/Hyp, Cos = Adj/Hyp, and Tan = Opp/Adj. We remember this using SOH CAH TOA.

Rate this question:

4
2.

$The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a tan ratio, what fraction will be created for the inverse tan calculation? - ProProfs$

The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a tan ratio, what fraction will be created for the inverse tan calculation?

Explanation
When finding the inverse, we create a fraction from the two sides. Sin = 0pp/Hyp, Cos = Adj/Hyp, and Tan = Opp/Adj. We remember this using SOH CAH TOA.

Rate this question:

4
3.

$The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a tan ratio, what fraction will be created for the inverse tan calculation? - ProProfs$

The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a tan ratio, what fraction will be created for the inverse tan calculation?

Explanation
When finding the inverse, we create a fraction from the two sides. Sin = 0pp/Hyp, Cos = Adj/Hyp, and Tan = Opp/Adj. We remember this using SOH CAH TOA.

Rate this question:

4
4.

$The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a tan ratio, what fraction will be created for the inverse tan calculation? - ProProfs$

The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a tan ratio, what fraction will be created for the inverse tan calculation?

Explanation
When finding the inverse, we create a fraction from the two sides. Sin = 0pp/Hyp, Cos = Adj/Hyp, and Tan = Opp/Adj. We remember this using SOH CAH TOA.

Rate this question:

4
5.

$The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a tan ratio, what fraction will be created for the inverse tan calculation? - ProProfs$

The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a tan ratio, what fraction will be created for the inverse tan calculation?

Explanation
When finding the inverse, we create a fraction from the two sides. Sin = 0pp/Hyp, Cos = Adj/Hyp, and Tan = Opp/Adj. We remember this using SOH CAH TOA.

Rate this question:

4
6.

$The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a cos ratio, what fraction will be created for the inverse cos calculation? - ProProfs$

The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a cos ratio, what fraction will be created for the inverse cos calculation?

Explanation
When finding the inverse, we create a fraction from the two sides. Sin = 0pp/Hyp, Cos = Adj/Hyp, and Tan = Opp/Adj. We remember this using SOH CAH TOA.

Rate this question:

4
7.

$The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a cos ratio, what fraction will be created for the inverse cos calculation? - ProProfs$

The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a cos ratio, what fraction will be created for the inverse cos calculation?

Explanation
When finding the inverse, we create a fraction from the two sides. Sin = 0pp/Hyp, Cos = Adj/Hyp, and Tan = Opp/Adj. We remember this using SOH CAH TOA.

Rate this question:

4
8.

$The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a cos ratio, what fraction will be created for the inverse cos calculation? - ProProfs$

The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a cos ratio, what fraction will be created for the inverse cos calculation?

Explanation
When finding the inverse, we create a fraction from the two sides. Sin = 0pp/Hyp, Cos = Adj/Hyp, and Tan = Opp/Adj. We remember this using SOH CAH TOA.

Rate this question:

4
9.

$The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a cos ratio, what fraction will be created for the inverse cos calculation? - ProProfs$

The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a cos ratio, what fraction will be created for the inverse cos calculation?

Explanation
When finding the inverse, we create a fraction from the two sides. Sin = 0pp/Hyp, Cos = Adj/Hyp, and Tan = Opp/Adj. We remember this using SOH CAH TOA.

Rate this question:

4
10.

$The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a cos ratio, what fraction will be created for the inverse cos calculation? - ProProfs$

The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a cos ratio, what fraction will be created for the inverse cos calculation?

Explanation
When finding the inverse, we create a fraction from the two sides. Sin = 0pp/Hyp, Cos = Adj/Hyp, and Tan = Opp/Adj. We remember this using SOH CAH TOA.

Rate this question:

4
11.

$The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a sin ratio, what fraction will be created for the inverse sin calculation? - ProProfs$

The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a sin ratio, what fraction will be created for the inverse sin calculation?

Explanation
When finding the inverse, we create a fraction from the two sides. Sin = 0pp/Hyp, Cos = Adj/Hyp, and Tan = Opp/Adj. We remember this using SOH CAH TOA.

Rate this question:

4
12.

The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

Explanation
You can use any ratio, but you must use the inverse function to find a missing angle.
My preference is to use COS because it is easiest to detect the apex of the angle, and nominate the adjacent and hypotenuse. Less room for error.

Rate this question:

4
13.

$The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a sin ratio, what fraction will be created for the inverse sin calculation? - ProProfs$

The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a sin ratio, what fraction will be created for the inverse sin calculation?

Explanation
When finding the inverse, we create a fraction from the two sides. Sin = 0pp/Hyp, Cos = Adj/Hyp, and Tan = Opp/Adj. We remember this using SOH CAH TOA.

Rate this question:

4
14.

$The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a sin ratio, what fraction will be created for the inverse sin calculation? - ProProfs$

The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a sin ratio, what fraction will be created for the inverse sin calculation?

Explanation
When finding the inverse, we create a fraction from the two sides. Sin = 0pp/Hyp, Cos = Adj/Hyp, and Tan = Opp/Adj. We remember this using SOH CAH TOA.

Rate this question:

4
15.

$The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a sin ratio, what fraction will be created for the inverse sin calculation? - ProProfs$

The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a sin ratio, what fraction will be created for the inverse sin calculation?

Explanation
When finding the inverse, we create a fraction from the two sides. Sin = 0pp/Hyp, Cos = Adj/Hyp, and Tan = Opp/Adj. We remember this using SOH CAH TOA.

Rate this question:

4
16.

$The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a sin ratio, what fraction will be created for the inverse sin calculation? - ProProfs$

The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a sin ratio, what fraction will be created for the inverse sin calculation?

Explanation
When finding the inverse, we create a fraction from the two sides. Sin = 0pp/Hyp, Cos = Adj/Hyp, and Tan = Opp/Adj. We remember this using SOH CAH TOA.

Rate this question:

4
17.

The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

Explanation
You can use any ratio, but you must use the inverse function to find a missing angle.
My preference is to use COS because it is easiest to detect the apex of the angle, and nominate the adjacent and hypotenuse. Less room for error.

Rate this question:

4
18.

The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

Explanation
You can use any ratio, but you must use the inverse function to find a missing angle.
My preference is to use COS because it is easiest to detect the apex of the angle, and nominate the adjacent and hypotenuse. Less room for error.

Rate this question:

4
19.

The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

Explanation
You can use any ratio, but you must use the inverse function to find a missing angle.
My preference is to use COS because it is easiest to detect the apex of the angle, and nominate the adjacent and hypotenuse. Less room for error.

Rate this question:

4
20.

The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

Explanation
You can use any ratio, but you must use the inverse function to find a missing angle.
My preference is to use COS because it is easiest to detect the apex of the angle, and nominate the adjacent and hypotenuse. Less room for error.

Rate this question:

4
21.

The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

Explanation
You can use any ratio, but you must use the inverse function to find a missing angle.
My preference is to use COS because it is easiest to detect the apex of the angle, and nominate the adjacent and hypotenuse. Less room for error.

Rate this question:

4
22.

The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

Explanation
You can use any ratio, but you must use the inverse function to find a missing angle.
My preference is to use COS because it is easiest to detect the apex of the angle, and nominate the adjacent and hypotenuse. Less room for error.

Rate this question:

4
23.

The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

Explanation
You can use any ratio, but you must use the inverse function to find a missing angle.
My preference is to use COS because it is easiest to detect the apex of the angle, and nominate the adjacent and hypotenuse. Less room for error.

Rate this question:

4
24.

The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

Explanation
You can use any ratio, but you must use the inverse function to find a missing angle.
My preference is to use COS because it is easiest to detect the apex of the angle, and nominate the adjacent and hypotenuse. Less room for error.

Rate this question:

4
25.

The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

Explanation
You can use any ratio, but you must use the inverse function to find a missing angle.
My preference is to use COS because it is easiest to detect the apex of the angle, and nominate the adjacent and hypotenuse. Less room for error.

Rate this question:

4
26.

The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

Explanation
You can use any ratio, but you must use the inverse function to find a missing angle.
My preference is to use COS because it is easiest to detect the apex of the angle, and nominate the adjacent and hypotenuse. Less room for error.

Rate this question:

4
27.

The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

Explanation
You can use any ratio, but you must use the inverse function to find a missing angle.
My preference is to use COS because it is easiest to detect the apex of the angle, and nominate the adjacent and hypotenuse. Less room for error.

Rate this question:

4
28.

The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

Explanation
You can use any ratio, but you must use the inverse function to find a missing angle.
My preference is to use COS because it is easiest to detect the apex of the angle, and nominate the adjacent and hypotenuse. Less room for error.

Rate this question:

4
29.

The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

Explanation
You can use any ratio, but you must use the inverse function to find a missing angle.
My preference is to use COS because it is easiest to detect the apex of the angle, and nominate the adjacent and hypotenuse. Less room for error.

Rate this question:

4
30.

The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

Explanation
You can use any ratio, but you must use the inverse function to find a missing angle.
My preference is to use COS because it is easiest to detect the apex of the angle, and nominate the adjacent and hypotenuse. Less room for error.

Rate this question:

4

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

Current Version
Apr 21, 2023

Quiz Edited by
ProProfs Editorial Team
Jul 10, 2015

Quiz Created by
Anthony Nunan

X010 Trigonometry Find Angle From 3 Sides

The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a tan ratio, what fraction will be created for the inverse tan calculation?

The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a tan ratio, what fraction will be created for the inverse tan calculation?

The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a tan ratio, what fraction will be created for the inverse tan calculation?

The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a tan ratio, what fraction will be created for the inverse tan calculation?

The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a tan ratio, what fraction will be created for the inverse tan calculation?

The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a cos ratio, what fraction will be created for the inverse cos calculation?

The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a cos ratio, what fraction will be created for the inverse cos calculation?

The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a cos ratio, what fraction will be created for the inverse cos calculation?

The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a cos ratio, what fraction will be created for the inverse cos calculation?

The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a cos ratio, what fraction will be created for the inverse cos calculation?

The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a sin ratio, what fraction will be created for the inverse sin calculation?

The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a sin ratio, what fraction will be created for the inverse sin calculation?

The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a sin ratio, what fraction will be created for the inverse sin calculation?

The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a sin ratio, what fraction will be created for the inverse sin calculation?

The triangle below gives the lengths of all three sides, and asks to find the angle. If this problem is to be solved using a sin ratio, what fraction will be created for the inverse sin calculation?

The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.

The triangle below gives the lengths of all three sides, and asks to find the angle. Using any ratio, calculate the value of the missing angle to the nearest degree. Given your answer as a whole number only.