Answer: x = 58°
Step-by-step explanation:
Sine = opposite leg ÷ hypotenuse
We need to find the hypotenuse first with the Pythagorean theorem.
a² + b² = c²
5² + 8² = c²
25 + 64 = c²
89 = c²
√c² = √89
c = 9.43398
c ≈ 9.43
Sine = opposite leg ÷ hypotenuse
Opp. leg - 8
Hypotenuse - 9.43
To find this, you have to use the calculator
Make sure the calculator is on scientific
If your calculator is on your computer and in full screen, find 8 ÷ 9.43 and then click sin⁻¹, you should get 58.03334
If your calculator is on your computer in mini screen, find 8 ÷ 9.43. This time, click the arrow that looks smth like this: ↑
When you do that, you should be able to see sin⁻¹, so you click that and you'll also get 58.03334
58.03334 ≈ 58
x = 58°
Hope I helped! Sorry I took so long
