Question

In the diagram, a building casts a 20-ft shadow and a flagpole casts a 7-ft shadow. If the flagpole is 12 ft tall, how high is the building? Round to the nearest tenth. .

Answer 1

12/7 = x/20
7x = 240
x = 34.3 ft

Answer 2

Height of Building is 34.3 ft

Explanation:

Given Length of shadow of building = 20 ft

Length of shadow of flagpost = 7 ft

Height of flagpole = 12 ft

Let, height of building is x

This problem is of Direct proportion,

As when if height of object increases then length of shadow also increases at same time.

We use the result,

`(x_1)/(x_2)=(y_1)/(y_2)`

`(x)/(20)=(12)/(7)`

`x=(12)/(7)*20`

`x=(240)/(7)`

`x=34.2857143`

`x=34.3`

therefore, Height of Building is 34.3 ft