Chapter 6.9, Problem 19STP

To determine

To calculate: The height of bell tower.

Answer to Problem 19STP

The height of bell tower is 18ft.

Explanation of Solution

Given information: Height of a statue is 4.5ft. It casts a shadow of 15 inch. The height of shadow of the bell tower is 60 inch.

Calculation:

Let the height of bell tower be x ft.

It casts a shadow of 60 inch.

12 inch = 1 ft

1 inch = $\frac{1}{12}$ ft

60 inch = $\frac{60}{12}$ ft = 5ft

Height of the statue given 4.5ft.

It casts a shadow of 15inch.

15inch = $\frac{15}{12}$ ft = $1.25$ ft.

By using proportionality theorem, we can write,

  $\frac{x}{4.5}=\frac{5}{1.25}$

  $\Rightarrow \frac{x}{4.5}=4$

  $\Rightarrow x=4\times 4.5$

  $\Rightarrow x=18$

So, the height of the bell tower is 18ft.

Option D is correct.