Chapter 9, Problem 7PSQ

To determine

Tofind:Height of fence post

Answer to Problem 7PSQ

  $6\text{ ft}$

Explanation of Solution

Given information:

Height of student $=5\text{ ft}$

Shadow of student $=15\text{ ft}$

Shadow of fence post $=18\text{ ft}$

Calculation:

Shadow to height ratio will be same for student and fence post.

Shadow to height ratio for student $=\frac{15\text{ ft}}{5\text{ ft}}=3\text{ft}$

Let height of fence post be $h$

Shadow to height ratio for fence post $=\frac{18\text{ ft}}{h}=3\text{ft}$

$\begin{array}{l}\Rightarrow h=\frac{18}{3}\\ \Rightarrow h=6\text{ ft}\end{array}$