A right triangle has an angle that measures 34 and the adjacent side measures 17. What is the length of the hypotenuse to the ne
arest tenth?
F. 20.5
G. 25.2
H. 30.4
J. 34
1 answer:
Answer:
20.5
Step-by-step explanation:
Let's label the vertices ABC as in the diagram below. Then
Data:
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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