Question #81727

1 Answer
Nov 21, 2017

The angle labeled #x^circ# is (approximately) #35.56730232^circ#
The unlabeled angle is (approximately) #54.43269768^circ#

Explanation:

For angle #x^circ# we can use CAH: Cosine equals Adjacent over Hypotenuse.
This gives #cos(x^circ)=109/134#
Applying the inverse function: #x^circ=arccos(109/134)#
which can be evaluated with a calculator to give the answer above.

For the unlabeled angle we would use SOH: Sine equals Opposite over Hypotenuse
and evaluate (with a calculator) #arcsin(109/134)#