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kicyunya [14]
3 years ago
11

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

Mathematics
1 answer:
Mashcka [7]3 years ago
8 0

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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