Question

2 points

Given right triangle ABC, where side "c" is the hypotenuse, angle A measures 58 degrees, and side b measures 12, find the length of side c.
Be sure your calculator is in Deg mode, and use the proper trig function in your computation. Round your answer to the nearest hundredth.
Type your answer.....

Answer 1

22.64

Explanation:

You want the length of hypotenuse c in right triangle ABC with A=58° and b=12.

Cosine

The cosine relation is ...

Cos = Adjacent/Hypotenuse

cos(A) = b/c

c = b/cos(A) = 12/cos(58°) ≈ 22.64

The length of side c is about 22.64 units.

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