Question

In this triangle, what is the value of x? Enter your answer, rounded to the nearest tenth, in the box.

Answer 1

The correct answer is 75.7°.

The figure is described as a right triangle with a hypotenuse of 85, a base of x, and an angle at the top of 63°.

We have the side opposite the angle, x, and the hypotenuse.  Opposite/hypotenuse is the ratio for the sine function:

sin 63° = x/85

Multiply both sides by 85:
85(sin 63°) = x
75.7 = x

Answer 2

Took the test! Hope this helps. Have a wonderful day!