SOLUTION: The hypotenuse of a 30 degree - 60 degree- 90 degree triangle measures 20 ft. what is the length of the other 2 sides?

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Question 838173: The hypotenuse of a 30 degree - 60 degree- 90 degree triangle measures 20 ft. what is the length of the other 2 sides?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
x= length, in feet, of the side opposite the 30%5Eo angle
sin%2830%5Eo%29=opposite_side%2Fhypotenuse
sin%2830%5Eo%29=0.5
hypotenuse=20ft
So, 0.5=x%2F20 --> x=0.5%2A20 --> x=10
y= length, in feet, of the side adjacent to the 30%5Eo angle
cos%2830%5Eo%29=adjacent_side%2Fhypotenuse
cos%2830%5Eo%29=sqrt%283%29%2F2=approximately0.866
So, sqrt3%29%2F2=y%2F20 --> y=20sqrt%283%29%2F2 --> y=10sqrt%283%29
y=approximately17.32