Question

height of the building is 50m. The angle from Nikko to the top of the building is 25 degrees. How far is Nikko from the Building? Draw a picture first

Answer 1

107 meters

Explanation:

You want Nikko's distance from a 50 m high building if the angle of elevation to the top is 25°.

Tangent

The tangent relation tells you the acute angle in a right triangle is related to the sides by ...

Tan = Opposite/Adjacent

Application

In this problem, the relation means ...

tan(25°) = building height / distance to building

Solving for the distance to the building, we get ...

distance to building = (building height)/tan(25°) = (50 m)/tan(25°)

distance to building ≈ 107.225 m

Nikko is about 107 meters from the building.