Question

The angle of depression from a window 10 m above the ground to a coin on the ground is
15°. Find the distance of the coin from the base of the building.

Answer 1

Answer:

37.3 m

Step-by-step explanation:

Let the distance of the coin to the base of the building be represented by x. Applying the required trigonometric function, we have:

Tan θ = $\frac{Opposite}{Adjacent}$

Tan 15 = $\frac{10}{x}$

0.2680 = $\frac{10}{x}$

x = $\frac{10}{0.2680}$

  = 37.3134

x = 37.3 m

The distance of the coin from the base of the building is 37.3 m.