SOLUTION: Triangle ABC. Angle C=90, Suppose line a=6 and line c=8; find the measure of angle A.

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Question 145787: Triangle ABC. Angle C=90, Suppose line a=6 and line c=8; find the measure of angle A.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
We basically have this triangle set up:




Since the opposite side is a=6 and the hypotenuse is c=8, this means that

sin%28A%29=opposite%2Fhypotenuse=6%2F8=3%2F4


So sin%28A%29=3%2F4


A=arcsin%283%2F4%29 Take the arcsine of both sides


A=48.59038 Evaluate the right side


So the measure of angle A is approximately 48.59 degrees