Answer:
107 meters
Step-by-step 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.
