SOLUTION: In a right triangle with the hypotenuse c=10 and the acute angle A=30 degrees 25'30'', find the sides a and b. Express your answer to three decimal places.

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Question 150941: In a right triangle with the hypotenuse c=10 and the acute angle A=30 degrees 25'30'', find the sides a and b. Express your answer to three decimal places.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

From the diagram,
sin%28A%29=b%2Fc
b=c%2Asin%28A%29
cos%28A%29=a%2Fc
a=c%2Acos%28A%29
Change A from degress, minutes, and seconds to decimal degrees.
A=30%2B25%2F60%2B30%2F3600=30%2B0.416667%2B0.008333=30.425
b=c%2Asin%28A%29
b=10%2Asin%2830.425%29
b=10%2A0.50641
highlight%28b=5.064%29
a=c%2Acos%28A%29
a=10%2Acos%2830.425%29
a=10%2A0.86629
highlight%28a=8.663%29