SOLUTION: For a given right triangle, Angle A = 61 degrees, side b = 39 feet. What is the length of side a to the nearest foot?

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Question 891405: For a given right triangle, Angle A = 61 degrees, side b = 39 feet. What is the length of side a to the nearest foot?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Implied that legs b,c,a, angles B and C. Assume C is the right angle and c is hypotenuse.

A%2BB%2BC=180
B=180-A-C
B=180-61-90
highlight%28B=29%29 degrees.

Law of Sines will give you length of side a.

a%2Fsin%28A%29=b%2Fsin%28B%29
a=b%28sin%28A%29%2Fsin%28B%29%29
Substitute the values.
highlight%28a=39%28sin%2861%29%2Fsin%2829%29%29%29