Chapter 8.7, Problem 4WE

To determine

the distance between the stadium and the tennis court.

Answer to Problem 4WE

The distance between stadium and tennis court is 89 m.

Explanation of Solution

Given:

Advertising blimp height is 125 m and the pilot sights tennis court at an angle of depression of $8°$ .

Calculation:

By the ratio of sides in a right − angled triangle, we can write:

  $\begin{array}{l}\tan \theta =\frac{\text{Opoosite side}}{\text{Adjacent side}},\\ \Rightarrow \tan 8°=\frac{125}{x},\\ \Rightarrow x=\frac{125}{\tan 8°},\\ \Rightarrow x=89\text{ m}\text{.}\end{array}$