Question

Can someone help me solve for x?

Answer 1

x ≈ 61.6°

Explanation:

Using the sine ratio in the right triangle

sin x =
`(opposite)/(hypotenuse)` =
`(wx)/(vx)` =
`(73)/(83)` , then

x =
`sin^(-1)` (
`(73)/(83)` ) ≈ 61.6° ( to the nearest tenth )

Answer 2

`\sin(x) = (73)/(83) \\`

`\sin(x) = 0.8795`

`x = 61.59 \: \: (Approximately )`

Thus :

`x = 61.6 \: degrees`