9 = the hypotenuse (opposite the right angle)
8= the opposite (opposite the angle in question)
Opposite and Hypotenuse so we use 'SOH'
SOH is
[tex] \sin(x) = \frac{o}{h} [/tex]
8÷9=0.8888....
now do the inverse of sin.
sin^-1(0.8888...)
x=62.7° to the nearest tenth of a degree