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

Solve for x (1 point) Responses 5.7 5.7 21.4 21.4 15.7 15.7 10.1

1 answer

To solve for x in this right triangle, we can use the trigonometric function cosine.

The cosine of an angle is defined as the ratio of the adjacent side to the hypotenuse.

In this case, we have the adjacent side as 11 and the angle as 31 degrees.

Using the cosine function, we have:

cos(31) = adjacent/hypotenuse

cos(31) = 11/x

To find x, we can rearrange the equation:

x = 11/cos(31)

Using a calculator to evaluate cos(31), we get:

x = 11/0.857

x ≈ 12.84

Therefore, the correct response is 12.8.