Question

Please help:
Solve for x, and round answers to the nearest tenth​

Answer 1

Answer: x = 50.3°

Explanation:

We are given an angle, an opposite side to this angle, and the hypotenuse. This means we will utilize the sine function.

Given:

`\displaystyle sin(\theta) =(opposite\;side)/(hypotenuse)`

Substitute known values:

`\displaystyle sin(x) =(30)/(39)`

Take the inverse of sine for both sides.

`sin^(-1)(\displaystyle sin(x)) =sin^(-1)((30)/(39))`

Compute the inverse of sine of
`(30)/(39)`.

`\displaystyle x \approx 50.3\°`