SOLUTION: Given a Right Triangle with one leg of 75 ft. and a hypotenuse of 92.71 ft., find the length of the remaining leg and the two unknown angles (in degrees)

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Question 1033980: Given a Right Triangle with one leg of 75 ft. and a hypotenuse of 92.71 ft., find the length of the remaining leg and the two unknown angles (in degrees)

Answer by ikleyn(52805) About Me  (Show Source):
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Given a Right Triangle with one leg of 75 ft. and a hypotenuse of 92.71 ft., find the length of the remaining leg and the two unknown angles (in degrees)
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The remaining leg = sqrt%2892.71%5E2-75%5E2%29. Calculate.


One acute angle alpha%29, opposite to 75 ft: 

sin%28alpha%29 = 75%2F92.71.                    Calculate.

alpha = arcsin%2875%2F92.71%29.                Calculate.


Another acute angle beta%29%29, adjacent to 75 ft, beta = 90 degs - alpha.