Question

A building across the street casts a shadow that is 2424 feet long. your friend is 66 feet tall and casts a shadow that is 44 feet long. what is the height of the building?

Answer 1

the answer is 36 feet

Answer 2

The height of the building is 3636 feet long

Explanation:

The rule of three is a way of solving problems of proportionality between three known values and one unknown, establishing a relationship of proportionality between all of them. In the case of direct proportionality, when one magnitude increases, the other increases (or when one magnitude decreases the other magnitude will also decrease)

This is an example of direct proportionality where the rule of three can be applied as follows:

44 feet (Long of the shadow of your friend) ⇒ 66 feet (Height of your friend)

2424 feet (Long of the shadow of the building) ⇒ x (Height of the building)

So, to solve this direct proportionality you do the following calculation:

x=
`(2424*66)/(44)`

x=
`(159984)/(44)`

x=3636

This means that the height of the building is 3636 feet long