Question

Use a proportion to solve the problem. Round to the nearest tenth as needed.

Triangle in a triangle Find the height of the building. Assume that the height of the person is 5 ft.
104 ft
building
13 ft
5 ft

Answer 1

Height of the building is 40 feet

Explanation:

From the figure attached,

Height of the person DE = 5 feet

Let height of the building BC = h feet

Since, ΔABC ~ ΔADE,

Their corresponding sides will be proportional,

`(DE)/(BC)=(AD)/(AB)`

`(5)/(h)=(13)/(104)`

h =
`(104* 5)/(13)`

h = 40 feet

Therefore, height of the building is 40 feet.