Question

How can I use trigonometry to solve for x​

Answer 1

m∠X ≈ 41.3

Explanation:

This is what I did!

Find the length of the side opposite X; solve the smaller right triangle using the Pythagorean theorem:

`8^(2) +S^(2) = 22^(2) \\`

S ≈ 20.49

Use the SINE ratio (opposite leg/hypotenuse)

`sinX = (20.49)/(31) \\X = 0.660\\`

Use the INVERSE SINE ratio to find the measure

`sin^(-1) (0.660)`

m∠X ≈ 41.3