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8 June, 22:41

A right triangle has an angle that measures 34 and the adjacent side measures 17. What is the length of the hypotenuse to the nearest tenth?

F. 20.5

G. 25.2

H. 30.4

J. 34

+5
Answers (1)
  1. 8 June, 23:45
    0
    20.5

    Step-by-step explanation:

    Let's label the vertices ABC as in the diagram below. Then

    dа ta:

    α = 34 °

    β = 90 °

    c = 17

    Calculation:

    cosα = AB/AC

    Multiply each side by AC

    ACcosα = AB

    Divide each side by cosα

    AC = AB/cosα = 17/cos34 ≈ 17/0.8290 ≈ 20.5
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