Question

From the top of a building the angle of depression to a car parked on the street below is 48 degrees. If the building is 75 feet tall how far is the car parked from the base of the building

Answer 1

The distance between the Base of the building & the car is x = 83.29 ft

Explanation:

Given data

AB = Height of the building = 75 ft

BC = distance from the base of building to the car = x ft

Angle of depression = ∠ BAC = 48°

∠ ACB = 180 - 90 - 48 = 42°

From the Δ ABC

`\tan 42 = (AB)/(BC)`

`\tan 42 = (75)/(x)`

x = 83.29 ft

Therefore the distance between the Base of the building & the car is x = 83.29 ft