Question

1 poin

A tall building casts a shadow that is 250 feet long. A nearby person is 6
feet tall, and casts a shadow that is 8 feet long. How tall is the building?*
200 feet
180 feet
192 feet
187.5 feet

Answer 1

The building is 187.5 feet tall.

Explanation:

A nearby person is 6 feet tall, and casts a shadow that is 8 feet long.

This means that the relation between the real height and the shadow is given by:

`(6)/(8) = (3)/(4)`

A tall building casts a shadow that is 250 feet long. How tall is the building?*

The real height is three fourths of the shadow. So

`(3)/(4)*250 = 187.5`

The building is 187.5 feet tall.