Solving for a Side Quiz (5 Questions)

1. θ = 45°, hypotenuse = 8. Find opposite side.

2. True or False: cos θ = opposite / hypotenuse

3. θ = 60°, adjacent = 6, find opposite side using tan θ.

4. Opposite = 5, hypotenuse = 13, find angle using sin⁻¹.

5. Give a real-life example of solving for a side.

Answer Key

1. Opposite = 8/√2 ≈ 5.66

2. False

3. tan 60° = √3 → √3 = opposite / 6 → opposite = 6√3

4. θ = sin⁻¹(5/13) ≈ 22.62°

5. Ladder height, building measurement, slope of ramp, etc.