Roof Trusses: Pitch, Rise & Member Lengths (Trignometric)

1) A roof truss has equal sides of 9 m and a base of 10 m. What is the peak angle (nearest degree)?

65°

70°

72°

75°

2) If a truss has side beams of 20 m and peak angle 50°, what is the base length?

29.9 m

30.0 m

30.1 m

30.2 m

3) A truss has a base of 14 m and rise of 10 m. What is the length of the side beam?

17.1 m

17.2 m

17.3 m

17.4 m

4) A truss has equal sides of 6 m and base of 6 m. What is the peak angle?

58°

59°

60°

61°

5) If the rise is 9 m and the half-base is 9 m, what is the pitch angle?

44°

45°

46°

47°

6) A truss has side beams of 10 m each and a base of 12 m. What is the height at the peak (nearest tenth)?

7.9 m

8.0 m

8.1 m

8.2 m

7) A truss has a rise of 7 m and half the base is 10 m. What is the pitch angle (nearest degree)?

33°

35°

39°

42°

8) A truss supports a roof with base 16 m and rise 8 m. What is the pitch angle?

26°

27°

28°

29°

9) If a truss has side beams 12 m and peak angle 40°, what is the base length?

14.9 m

15.0 m

15.1 m

15.2 m

10) A truss has a rise of 4 m and half the base is 6 m. Find the pitch angle.

33°

34°

35°

36°

11) A triangular roof truss has a 40° pitch angle. If half the base is 5 m, what is the rise (nearest tenth)?

3.2 m

3.5 m

4.1 m

4.4 m

12) A truss with a rise of 6 m and base half of 8 m has what pitch angle?

36°

37°

38°

39°

13) A triangular truss is isosceles with two equal sides of 15 m and base 18 m. Find the peak angle.

72°

73°

74°

75°

14) A truss has a base of 20 m and rise of 12 m. Find the pitch angle (nearest degree).

29°

30°

31°

32°

15) A roof beam is 10 m long and makes a 45° angle with the base. What is the rise?

7.0 m

7.1 m

7.2 m

7.3 m

16) A truss has a rise of 5 m and half the base is 7 m. What is the pitch angle (nearest degree)?

32°

31°

34°

36°

17) A truss has a base of 12 m and a pitch angle of 30°. Find the rise.

6.9 m

7.0 m

7.1 m

7.2 m

18) A truss has a base of 18 m and a pitch angle of 35°. What is the rise (nearest tenth)?

4.9 m

5.2 m

6.1 m

6.3 m

19) Each side beam is 8 m long and the peak angle is 60°. What is the base length?

8 m

12 m

16 m

4 m

20) A roof truss has two equal sides of 11 m each and a base of 14 m. What is the peak angle (nearest degree)?

43°

59°

68°

78°

Engineering Design → Roof Truss Analysis