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21. A 42 ft ladder leans against a wall. The bottom of the ladder is 16 ft
from the wall. What angle does the ladder make with the ground?

21. A 42 ft ladder leans against a wall. The bottom of the ladder is 16 ft from the wall. What angle does the ladder make with the ground? class=

Answer :

xxamari

Answer:

67.61 degrees

Step-by-step explanation:

The question wants us to solve for x. Remember our trigonometric identities.

SOHCAHTOA: We have the Adjacent side and the Hypotenuse, so we must use CAH = cosine.

  a/h = cosx

  16/42 = cosx

  .381 = cosx

Take inverse cosine of both sides.

  cos⁻¹(.381) = x

  x = 67.61 degrees

Answer: x = 67.6

Step-by-step explanation: cos x = 16/42

                                            cos-1 (16/42)

                                          x = cos-1 (16/42)

                                         x = 67.6

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