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) About Me  (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 (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.