Question

PLEASE HELP!! 100 points!!!

The angle of depression from the top of a tower to a boulder on the ground is 22 . If
the tower is 70 feet high, how far from the base of the tower is the boulder? (Round
answer to the 1st decimal place.)

Answer 1

• 173.3 feet

Explanation:

Let the required distance be x.

We have a right triangle with vertical leg of 70 feet and the acute angle opposite to this leg is 22 degrees.

Use trigonometry:

• adjacent / opposite = cotangent
• x / 70 = cot 22 deg
• x = 70 cot 22 deg
• x = 173.3 feet (rounded)