Question

Kendra can see the top of her apartment building reflected in a small fish pond in a park across the street. She is standing 2 m from the pond, and the distance from the pond to the apartment building is 40 m. If Kendra's eyes are 150 cm above the ground, how tall is the apartment building?

Answer 1

Explanation:

According to problem description, we have two triangles

The first one: the fish pond and feet and eyes of Kendra

The second one the fish pond and the side wall of the apartment

These two triangles have angle α as common angle and its tan

tan α = 1.5/ 2 = x/ 40 then note : 150 cm = 1.5 m

1.5/ 2 = x/ 40

x = 40 * 1.5 / 2

x = 30 m