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Henry is painting a house. He placed a 24 foot ladder 15 feet away from the base of the house so that it leaned up against the house.
Enter the measure of the angle that is formed between the ladder and the ground, rounded to the nearest tenth.

Respuesta :

samuelonum1

Applying the soh cah toa relation we found the angle made with the house to be 51.31

Ф = 51.32°

Trigonometry

Given Data

  • Length of ladder Hyp = 24 feet
  • Distance of ladder from house Adj = 15 feet
  • Angle made with house = ??

Applying the SOH CAH TOA formula we have

Cos Ф = Adj/Hyp

Cos Ф = 15/24

Cos Ф = 0.625

Ф = Cos^-1 (0.625)

Ф = 51.32°

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