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

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