Question

A building casts a shadow that is 50 feet in length. If the distance from the end of the shadow to the top of the building is 250 feet, what is the height of the building

Answer 1

The height of the building is of 244.95 feet.

Explanation:

We use the Pythagorean Theorem to solve this question.

We have that:

The shadow of 50 feet is one side of the right triangle, while the height h is other side.

The hypotenuse is the distance from the end of the shadow to the top of the building, which is 250 feet.

So

`50^2 + h^2 = 250^2`

`h^2 = √(250^2 - 50^2)`

`h = 244.95`

The height of the building is of 244.95 feet.