SOLUTION: you have a right triangle with one angle at 55degrees and one leg 8m the longest leg is y and the last is x how do you find x and y

Algebra ->  Trigonometry-basics -> SOLUTION: you have a right triangle with one angle at 55degrees and one leg 8m the longest leg is y and the last is x how do you find x and y      Log On


   

Question 1090004: you have a right triangle with one angle at 55degrees and one leg 8m the longest leg is y and the last is x how do you find x and y
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Since you know one angle, you can find the other,
90%2B55%2BA=180
A=35
The shortest leg is across from the smallest angle.
So then use the law of sines to find the other lengths,
sin%2835%29%2F8=sin%2855%29%2Fy=sin%2890%29%2Fx
I'm assuming x is the hypotenuse.
So then,
y=8%28sin%2855%29%2Fsin%2835%29%29
x=8%2Fsin%2835%29
Use a calculator to work those out.