Question

What is the value of x in this triangle?

Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

x =

°
A vertical align right triangle. The perpendicular is labeled as 32. The hypotenuse is labeled as 58. The alternate base angles are labeled as right angle and x degrees, respectively.​

Answer 1

x= 33.49

Explanation:

Answer 2

Answer: 33.49

Explanation:

By the given information, the hypotenuse of the triangle = 58 units

The perpendicular side of the right triangle = 32 units which is the side opposite to the angle x.

We know that

`\sin x=\frac{\text{side opposite to x}}{\text{Hypotenuse}}\\\\\Rightarrow\ \sin x =(32)/(58)\\\\\Rightarrow\ x=\sin^(-1)(32)/(58)`

Using calculator, we have

`x=33.48537662\approx33.49^(\circ)`

Hence, the value of x = 33.49