How far away is Lori from the hiker? - Show Work

Question

From the top of a 35 meter cliff, Lori spots a hiker at an angle of depression of 62 degrres. How far away is Lori from the hiker? 

Answer 1

      *

     | \ 

     |d \

 35|     \ x

     |       \

     |         \

     ----------*

         

 

Angle of depression is d = 62

Using the cosine function

cosine = adjacent/hypotenuse

 

cos 62 = 35/x

 

x = 35/(cos 62)

 

x = 74.55 meters