mariamhatesmath
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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.)

Respuesta :

mhanifa

Answer:

  • 173.3 feet

Step-by-step 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)

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