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

37.3 m

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 =
`(Opposite)/(Adjacent)`

Tan 15 =
`(10)/(x)`

0.2680 =
`(10)/(x)`

x =
`(10)/(0.2680)`

= 37.3134

x = 37.3 m

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