Solving for an Angle Quiz (5 Questions)

1. Opposite = 7, hypotenuse = 25, find θ using sin⁻¹.

2. True or False: cos⁻¹(x) gives an angle.

3. Adjacent = 5, opposite = 12, find θ using tan⁻¹.

4. θ = sin⁻¹(1/2). Find θ in degrees.

5. Give one real-world application of finding angles in right triangles.

Answer Key

1. θ = sin⁻¹(7/25) ≈ 16.26°

2. True

3. θ = tan⁻¹(12/5) ≈ 67.38°

4. θ = 30°

5. Engineering, navigation, construction, roof slope, ramp design