Use the theorem below to answer the question. Suppose θ is an acute angle residing in a right triangle. If the length of the side adjacent to θ is a, the length of the side opposite θ is b, and the length of the hypotenuse is c, then cos (θ) = a c and sin (θ) = b c. If θ = 13° and the side adjacent to θ has length 4, how long is the hypotenuse? (Round your answer to three decimal places.)

Question

Mathematics

Jaliyah Valencia

22 February, 23:23

Use the theorem below to answer the question. Suppose θ is an acute angle residing in a right triangle. If the length of the side adjacent to θ is a, the length of the side opposite θ is b, and the length of the hypotenuse is c, then cos (θ) = a c and sin (θ) = b c. If θ = 13° and the side adjacent to θ has length 4, how long is the hypotenuse? (Round your answer to three decimal places.)

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Answers (1)

Know the Answer?

Jerimiah Frazier · Answer 1

c ≈ 4.105

Step-by-step explanation:

You want to find c in ...

cos (13°) = 4/c

Multiply the equation by c/cos (13°) and evaluate.

c = 4/cos (13°) ≈ 4.105