SOLUTION: Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and side c is the hypotenuse. cos(B) = 4/5, a = 38 b=? c=? please help...

Question 1129898: Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and side c is the hypotenuse.
cos(B) = 4/5, a = 38
b=?
c=?
please help... Ive tried this problem more than once and got different answers..
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and side c is the hypotenuse.
cos(B) = 4/5, a = 38
cos(B) = a/c
4/5 = 38/c
c = 38/(4/5) = 47.5
------
b^2 = c^2-a^2
b^2 = 47.5^2-38^2
b^2 = 812.25
b = 28.5
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Cheers,
Stan H.
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