Question

QUICK, Help PLEASE! NEEDED FAST! 20 POINTS!

Answer 1

Since you have the side opposite of x and the hypotenuse, and
$\sin(x) = \frac{opposite}{hypotenuse}$
you have

$\sin(x) = \frac{66}{79}$
Now solve for x.
$x = \arcsin( \frac{66}{79} )$
Another way to write arcsin() is
$\sin^{ - 1} ()$
In either case, plug that into your calculator and you'll find that
$x = 56.7 ^{o}$
Make sure your calculator is in degree mode and not radian mode.