Question

A building casts a shadow that is 15 meters in length The distance from the top of the building to the top of the shadow is 25 meters. What is the

height of the building?​

Answer 1

20 meters

Explanation:

The shadow of the building will look like a right triangle. In this problem, the hypotenuse of the triangle is 25 meters, and one of the sides is 15 meters. What we are trying to find is the length of the other side.

We can do this by using pythagoreans theorem.

`15^2 + x^2 = 25^2\\225 + x^2 = 625\\x^2 = 400\\x = 20`

So, the last side (or the height of the building) is 20 meters.