SOLUTION: Find the length of AC. https://docs.google.com/document/d/1WoHdB3UE5caQV2Q4GKMGK4WEZ7G-6ySo9myBaLCSQg8/edit?usp=sharing

Algebra ->  Trigonometry-basics -> SOLUTION: Find the length of AC. https://docs.google.com/document/d/1WoHdB3UE5caQV2Q4GKMGK4WEZ7G-6ySo9myBaLCSQg8/edit?usp=sharing      Log On


   



Question 1181857: Find the length of AC.

https://docs.google.com/document/d/1WoHdB3UE5caQV2Q4GKMGK4WEZ7G-6ySo9myBaLCSQg8/edit?usp=sharing

Found 2 solutions by greenestamps, Solver92311:
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


AC = AB+BC = 22+BC

To find BC, use the law of sines on triangle BCD:

BC%2Fsin%28BDC%29+=+BD%2Fsin%28C%29

BC%2Fsin%28BDC%29+=+19%2Fsin%2834%29


Answer by Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!


.

Angle DBC measures 120° because it is supplementary to angle DBA. Angle BDC measures 180° - (120° + 34°) = 26° because the sum of the angles in a triangle is 180°.

Using the Law of Sines:



Solve for BC, and then AC = AB + BC

John

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

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