Answer to Question #94629 in Physics for Randi

Question

A man visited a park that is famous for a vertical rock overlooking the town. He parked his car 100 m from the vertical rock. Then he used the trail to climb to the top of the rock. When he is looking from the top of the rock he could identify his car at a 680 viewing angle measured downwards from the horizontal line.


b) How high is the summit of the rock from the level of the car ?

Answer 1

We have:

$$\frac{h}{d}=\cot{68\degree}$$

$$h=d\cot{68\degree}=100\cot{68\degree}=40.4\ m$$