Chapter 8.7, Problem 9ST2

To determine

To Find : The height of cliff.

Answer to Problem 9ST2

The height of cliff is 44.5m .

Explanation of Solution

Given information:

From a point on the ground 100m from the foot of the cliff, the angle of elevation of the top of the cliff is 24°.

Suppose the height of cliff is x,

Apply the tan formula for angle 24° in the right angle triangle,

  $\begin{array}{l}tan24°=\frac{\text{Perpendicular}}{\text{Base}}\hfill \\ 0.445=\frac{x}{100}\hfill \\ x=100\times 0.445\hfill \\ x=44.5m\hfill \end{array}$

Therefore, height of cliff is 44.5m .