SOLUTION: the two legs of a triangle are 200 and 50 meters each. Respectively the angle opposite of the 200 meter side is 16 degrees. what is the 3rd side?
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Question 1016339: the two legs of a triangle are 200 and 50 meters each. Respectively the angle opposite of the 200 meter side is 16 degrees. what is the 3rd side?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
By law of sines, 
where alpha is opposite the 50 m side and beta is opposite the x m side. Then 
so  \approx 4^{\circ})
(closer to 3.95 degrees)
Then 
, so 
meters.
Alternatively, you can use the law of cosines:
)
Then solve the remaining quadratic using your calculator. You get the same answer either way.
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