Question

15 points please help me solve for x

Answer 1

82' is the write answer

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Answer 2

`x = 73.74`°.

Explanation:

In order to find the angle measure of
`x`, you can use the trigonometric function sine to calculate the value of it. Sine is a trigonometric function used in right triangles to solve for the sides and angles, it states that the sine of an angle is equal to the side opposite to it divided by the hypotenuse. In this case,
`sin(x)=(48)/(50)`. If you want to isolate the variable
`x` on one side to calculate its value, take the
`sin^(-1)` or arcsine of both sides.
`arcsin(sin(x))=arcsin((48)/(50))` ⇒
`x = arcsin((48)/(50))` ⇒
`x` ≈ 73.74°, so that would be the correct answer.