Geometry Level 1
Trig Ratios Practice
Calculate the missing side lengths. Show all work, and round off answers to the nearest tenth.
1. 𝐴 = 41°, 𝑎 = 19
2. 𝐵 = 6°, 𝑐 = 40
3. 𝐵 = 77°, 𝑎 = 11
4. 𝐴 = 62°, 𝑏 = 13
5. 𝐴 = 38°, 𝑐 = 17
6. 𝐵 = 50°, 𝑏 = 72
7. 𝐵 = 81°, 𝑎 = 14
8. 𝐴 = 47°, 𝑎 = 95
9. 𝐵 = 12°, 𝑐 = 61
10. 𝐴 = 44°, 𝑏 = 10
Make a diagram to represent each situation. Then write and solve an equation using a trig
ratio in order to solve the problem.
11. When the angle of elevation to the sun is 68°, a telephone pole casts a 14-foot shadow.
Calculate the height of the telephone pole to the nearest whole foot.
12. How long will a 25-foot-tall tree’s shadow be when the angle of elevation to the sun is
33°?
13. How far should the bottom of a 20-foot ladder be from a wall in order for the ladder to
form a 55° angle with the ground?
14. If the ladder in #13 forms a 65° angle with the ground, how far up the wall will it reach?