Modeling Problems Quiz (5 Questions)

1. Shadow of a pole = 8 m, height = 2 m. Find height of a tree with shadow 12 m.

2. True or False: Trigonometry can measure heights indirectly.

3. Ladder leans on wall, 10 m long, 6 m from wall. Find angle with ground.

4. True or False: Modeling problems often use right triangles.

5. Give one real-world example using right triangle modeling.

Answer Key

1. Height = 3 m (proportion 2/8 = x/12 → x = 3)

2. True

3. θ = cos⁻¹(6/10) ≈ 53.13°

4. True

5. Measuring buildings, ramps, shadows, bridges, etc.