From the top of a building 50m high. The angle of depression of a car is 55°. Calculate the distance of a car from the foot of the building to the nearest whole metre

Answer 1

Let the distance from the foot of the building to the car be x meters.

We can create a right triangle with the building, the distance from the foot of the building to the car (x), and the height of the building (50m).

Since the angle of depression is 55°, the angle of elevation from the car to the top of the building is also 55°.

Using trigonometry, we can say that:

tan 55° = 50/x

Solving for x:

x = 50 / tan 55°
x ≈ 50 / 1.4281
x ≈ 35.0017

Therefore, the distance from the foot of the building to the car is approximately 35 meters.