Question

A 4.0-m-wide swimming pool is filled to the top. The bottom of the pool becomes completely shaded in the afternoon when the sun is 20oabove the horizon. How deep is the pool

Answer 1

≈ 4.11m

Step-by-step explanation:

We can use Snell's Law [ n₁sinθ₁ = n₂sinθ₂ ] to solve.

(1)sin(70) = (1.33)sin(θ₂)

θ₂ ≈ 44.20

Now find how deep the pool is.

tan(θ₂) = 4/d

d = 4/tan(44.20)

d ≈ 4.11

Best of luck!