Question

4. An observer at the top of a 40-foot cliff spots two boats sailing in a straight line with her. The

angle of depression to the first boat is 21°, and the angle of depression to the second boat is
34°. How far apart are the boats if the eye level of the observer is 5'/4 feet from the ground?

PLEASE HELP ME

Answer 1

The two bolts of 50.9 ft apart

Explanation:

boat 1

`\tan(21) = (45.33)/(x) \\ x = (45.33)/( \tan(21) ) \\ x = 118.1 \: ft`

boat 2

`\tan(34) = (45.33)/(x) \\ x = (45.33)/( \tan(34) ) \\ x = 67.2 \: ft`

`118.1 - 67.2 = 50.9 \: ft`