A right triangle has a corner that measures 31*, a hypotinuese of x, and an Adjacent of 11.

Solve for x (1 point) Please choose one of the following as the correct answer:
5.7
21.4
15.7
10.1

1 answer

To solve for x, we can use the trigonometric function cosine, which is defined as the ratio of the adjacent side to the hypotenuse in a right triangle.

Given that the angle measures 31 degrees and the adjacent side measures 11, we can use the formula:

cos(31 degrees) = Adjacent / Hypotenuse

cos(31 degrees) = 11 / x

To find x, we can rearrange the equation and solve for x:

x = (11 / cos(31 degrees))

Using a calculator, we find:

x ≈ 15.74

Therefore, the correct answer is 15.7.
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