Chapter 6.9, Problem 14PPS

To determine

To calculate: The height of the tree house.

Answer to Problem 14PPS

The height of the tree house is 10 ft.

Explanation of Solution

Given information: Height of the shadow of tree house is 18ft. The height of Jenet is 5ft. It cast a shadow of 9ft.

Calculation:

Let the height of the tree house be x ft.

It casts a shadow of 18 ft.

Height of Jenet is 5 ft.

It casts a shadow of 9 ft.

By using the proportionality theorem, we can write,

  $\frac{x}{5}=\frac{18}{9}$

  $\Rightarrow$$\frac{x}{5}=2$

  $\Rightarrow x=2\times 5$

  $\Rightarrow x=10$

So, the height of the tree house is 10 ft.