Chapter 11, Problem 30CUR

To determine

To Find: The angle of elevation of the top of tree from point P.

Answer to Problem 30CUR

  $45°$

Explanation of Solution

Given:

Height of tree is 20m. Distance of base of tree from point P on ground is also 20m.

Formula used:

  1. $\tan \theta =\frac{Perpendicular}{Base}$

Representing the given situation in the form of a triangle as following:

  

Using formula for $\tan \theta$ :

  $\begin{array}{l}\tan P=\frac{HT}{TP}=\frac{20}{20}\\ \Rightarrow \tan P=1\\ \Rightarrow \angle P=45°\end{array}$