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

Answer:

The two bolts of 50.9 ft apart

Step-by-step explanation:

boat 1

$\tan(21) = \frac{45.33}{x} \\ x = \frac{45.33}{ \tan(21) } \\ x = 118.1 \: ft$

boat 2

$\tan(34) = \frac{45.33}{x} \\ x = \frac{45.33}{ \tan(34) } \\ x = 67.2 \: ft$

$118.1 - 67.2 = 50.9 \: ft$