Question

Solve for x. Round to the nearest tenth of a degree, if necessary.

Answer 1

`x=42.6`

Explanation:

The known sides, 65 and 44, are hypotenuse and opposite leg respectively.

The work:

`Sin(x^(0)) =(44)/(65)`

`x^(0) =sin^(-1) ((44)/(65) )=(42.6)^(0)`

Hope this helps.

Answer 2

x° ≈ 42.6°

Explanation:

using the sine ratio in the right triangle

sin x° =
`(opposite)/(hypotenuse)` =
`(GH)/(GI)` =
`(44)/(65)` , then

x° =
`sin^(-1)` (
`(44)/(65)` ) ≈ 42.6° ( to the nearest tenth )