Chapter 12, Problem 6PST

To determine

The height of the backboard.

Answer to Problem 6PST

The height of the backboard would be $13$ ft.

Explanation of Solution

Given information : The shadow of 4 foot post is 20 inches long. And the shadow of the backboard is 65 inches long.

Formula used : The shadow creates similar triangles. And in a similar triangle, the ratio of the corresponding sides are equal.

Calculation : Let the height of the backboard is $x$ ft.

Then the corresponding side ratio would be.

  $\begin{array}{l}\frac{x}{65}=\frac{4}{20}\\ x=\frac{4}{20}\times 65\\ x=13ft\end{array}$

Then, the height of the backboard would be $13$ ft.