SOLUTION: Scalene triangle with 90, 75, abd 15 degree angles. Shortest side is 5 inches What are the other two side lengths?

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Question 174769: Scalene triangle with 90, 75, abd 15 degree angles.
Shortest side is 5 inches
What are the other two side lengths?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Scalene triangle with 90, 75, abd 15 degree angles.
Shortest side is 5 inches
What are the other two side lengths?
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It's a right triangle, so that makes it easier.
The short side is opposite the small angle, 15º, so 5 = hyp*sin(15)
hyp = 5/sin(15) = 19.3185...
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The tan(15) = 5/side 3, so the 3rd side is 5/tan(15)
Side 3 = 18.660...
As a check use Pythagoras:
18.88%5E2+%2B+5%5E2+=+19.3185%5E2
So it's correct.