Bearings in Multi-Leg Journeys

  • Grade 11th
Reviewed by Cierra Henderson
Cierra Henderson, MBA |
K-12 Expert
Review Board Member
Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.
 , MBA
By Thames
T
Thames
Community Contributor
Quizzes Created: 11121 | Total Attempts: 9,754,405
| Attempts: 11 | Questions: 20 | Updated: Jan 21, 2026
Please wait...
Question 1 / 21
🏆 Rank #-- ▾
0 %
0/100
Score 0/100

1) Why can’t the Pythagorean Theorem usually be applied in bearings problems?

Submit
Please wait...
About This Quiz
Bearings In Multi-leg Journeys - Quiz

What happens when a traveler changes direction multiple times? In this quiz, you’ll solve multi-leg bearing problems using trigonometric laws to find straight-line distances. You’ll apply the Law of Cosines and Law of Sines to determine total displacement after several turns. Each scenario helps you understand how navigators piece togethe... see moreroutes from bearings and distances — and calculate exactly how far they’ve really gone!
see less

2)

What first name or nickname would you like us to use?

You may optionally provide this to label your report, leaderboard, or certificate.

2) Which triangle case do multi-leg bearing problems usually form?

Submit

3) A ship goes 50 km on a bearing of 060°, then 70 km on a bearing of 140°. Which side of the triangle represents total displacement?

Submit

4) A boat sails 100 km on a bearing of 060°, then 120 km on a bearing of 150°. What is its displacement?

Submit

5) A boat sails 25 km at a bearing of 045°, then 30 km at a bearing of 135°. How far is it from the start (nearest km)?

Submit

6) A plane flies 200 km on a bearing of 020°, then 250 km on a bearing of 110°. Which formula applies to find its distance from the start?

Submit

7) Two planes leave an airport: one flies 150 km on a bearing of 030°, the other 200 km on a bearing of 120°. How far apart are they?

Submit

8) In bearings problems, what is typically the known angle when applying the Law of Cosines?

Submit

9) In multi-leg journeys, which of the following is essential before applying the Law of Cosines?

Submit

10) A ship goes 40 km at a bearing of 010°, then 50 km at a bearing of 100°. How far is it from port (nearest km)?

Submit

11) A plane flies 80 km at a bearing of 045°, then 100 km at 135°. What is its displacement (nearest km)?

Submit

12) A hiker walks 12 km at a bearing of 045°, then 15 km at a bearing of 135°. Which law should be used?

Submit

13) A ship goes 60 km at a bearing of 090°, then 80 km at a bearing of 180°. How far is it from port (nearest km)?

Submit

14) A boat sails 15 km on a bearing of 070°, then 20 km on a bearing of 160°. To find the straight-line distance from its starting point, which law is most efficient?

Submit

15) A cyclist travels 15 km east, then 20 km at a bearing of 120°. What’s the best method to find the displacement?

Submit

16) A car travels 40 km due east, then 30 km on a bearing of 150°. Which law helps find the straight-line distance back to the start?

Submit

17) A plane flies 100 km on a bearing of 030°, then 120 km on a bearing of 120°. How far is it from its start (nearest km)?

Submit

18) In multi-leg bearing problems, why is the Law of Cosines often preferred over the Law of Sines?

Submit

19) A ship travels 10 km on a bearing of 045°, then 12 km on a bearing of 135°. Which triangle type is formed when computing displacement?

Submit

20) A hiker travels 8 km due north, then 6 km on a bearing of 120°. What information is needed to apply the Law of Cosines?

Submit
×
Saved
Thank you for your feedback!
View My Results
Cierra Henderson |MBA |
K-12 Expert
Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.
Cancel
  • All
    All (20)
  • Unanswered
    Unanswered ()
  • Answered
    Answered ()
Why can’t the Pythagorean Theorem usually be applied in bearings...
Which triangle case do multi-leg bearing problems usually form?
A ship goes 50 km on a bearing of 060°, then 70 km on a bearing of...
A boat sails 100 km on a bearing of 060°, then 120 km on a bearing...
A boat sails 25 km at a bearing of 045°, then 30 km at a bearing...
A plane flies 200 km on a bearing of 020°, then 250 km on a bearing...
Two planes leave an airport: one flies 150 km on a bearing of...
In bearings problems, what is typically the known angle when applying...
In multi-leg journeys, which of the following is essential before...
A ship goes 40 km at a bearing of 010°, then 50 km at a bearing of...
A plane flies 80 km at a bearing of 045°, then 100 km at 135°....
A hiker walks 12 km at a bearing of 045°, then 15 km at a bearing of...
A ship goes 60 km at a bearing of 090°, then 80 km at a bearing of...
A boat sails 15 km on a bearing of 070°, then 20 km on a bearing...
A cyclist travels 15 km east, then 20 km at a bearing of 120°....
A car travels 40 km due east, then 30 km on a bearing of 150°. Which...
A plane flies 100 km on a bearing of 030°, then 120 km on a...
In multi-leg bearing problems, why is the Law of Cosines often...
A ship travels 10 km on a bearing of 045°, then 12 km on a bearing of...
A hiker travels 8 km due north, then 6 km on a bearing of 120°. What...
play-Mute sad happy unanswered_answer up-hover down-hover success oval cancel Check box square blue
Alert!