Jim wanted to swim from his dock across the lake to Julie's dock. He estimated the distance by first standing at a point 200m down the beach from his dock, and from this point he found his dock was N70*E and Julie's dock was N20*E. He then went back to his dock and found Julie's dock was N10*W of it. What is the distance between the docks?
I have been on this problem for 2 hours, my Math teacher was kind enough to give us the final answer 306.4m , however he wants to see the work and I have no idea how he went there, I've tried diagramming it out and labeling the angles as well as using the Law of Sines and Law of Cosines formula's. The closest I got 297.5 . Any help would be appreciated.
PS. the * is degrees.
Ok, still having trouble here, I filled the rest of the supplementary angles in and then tried to use the Law of Sines
a/Sin70 = 200/Sin30
which then gives:
375.87 and I know thats wrong because the final answer should equal 306.4