SOLUTION: Solve for the value of y link- https://docs.google.com/document/d/1hf8uwIw8fFnsNvDRnb9Zj-9iotF3XSFF1I16o44rGfw/edit?usp=sharing can someone please solve the problem I am stu

Algebra ->  Trigonometry-basics -> SOLUTION: Solve for the value of y link- https://docs.google.com/document/d/1hf8uwIw8fFnsNvDRnb9Zj-9iotF3XSFF1I16o44rGfw/edit?usp=sharing can someone please solve the problem I am stu      Log On


   

Question 1181736: Solve for the value of y
link- https://docs.google.com/document/d/1hf8uwIw8fFnsNvDRnb9Zj-9iotF3XSFF1I16o44rGfw/edit?usp=sharing
can someone please solve the problem I am stuck
Found 2 solutions by Solver92311, MathTherapy:
Answer by Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!


Use the Law of Sines.



to calculate Angle Z.

Where is the side opposite angle , and so on.

Then use the fact that the sum of the interior angles of any triangle is 180 degrees to find angle .

Then use the Law of Sines again to find the measure of side

John

My calculator said it, I believe it, that settles it

From
I > Ø

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Solve for the value of y
link- https://docs.google.com/document/d/1hf8uwIw8fFnsNvDRnb9Zj-9iotF3XSFF1I16o44rGfw/edit?usp=sharing
can someone please solve the problem I am stuck 
Find ∡Z first, by using the LAW of SINES, as follows:  

                                                   matrix%281%2C3%2C+34+sin+%28Z%5Eo%29%2C+%22=%22%2C+15+sin+%28110%5Eo%29%29 ------ Cross-multiplying

                                                      matrix%281%2C3%2C+sin+%28Z%5Eo%29%2C+%22=%22%2C+%2815+sin+%28110%5Eo%29%29%2F34%29

                                                      matrix%281%2C3%2C+sin+%28Z%5Eo%29%2C+%22=%22%2C+.4146%29

                                                            matrix%281%2C5%2C+Z%2C+%22=%22%2C+sin%5E%28-+1%29%28.4146%29%2C+%22=%22%2C+24.49%5Eo%29

That makes ∡Y, 180 - (110 + 24.49) = 180 - 134.49 = 45.51o  

Now, you can find y by applying the Law of Sines once again. This is: 

Follow the same concept shown earlier, to solve for side y, or side XZ.