Question

Find x in the figure below.

Answer 1

9 = the hypotenuse (opposite the right angle)
8= the opposite (opposite the angle in question)

Opposite and Hypotenuse so we use 'SOH'

SOH is
$\sin(x) = \frac{o}{h}$
8÷9=0.8888....

now do the inverse of sin.

sin^-1(0.8888...)

x=62.7° to the nearest tenth of a degree