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What is the value of z in the triangle ? Enter your answer in the box . Round your final answer to the nearest hundredth.
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What is the value of z in the triangle ? Enter your answer in the box . Round your final answer to the nearest hundredth.

What is the value of z in the triangle ? Enter your answer in the box . Round your-example-1
User StKiller
by
3.6k points

1 Answer

10 votes

Answer:

32.97 inches

Explanation:

Given

  • 27 in. is the length one of the legs

Solving

  • cosine function gives the ratio of the adjacent side of the angle and the hypotenuse
  • Take cos35°
  • cos35° = 0.819
  • cos35° = 27/z
  • ⇒ 27/z = 0.819
  • ⇒ z = 27/0.819
  • ⇒ z = 32.97 inches
User Algorithmic Canary
by
3.6k points
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