SOLUTION: Swanson plans to attempt to swim across the lake from point A to point B as shown below. To determine how far he will have to swim, he has chosen a point C and determined the label

Algebra ->  Test -> SOLUTION: Swanson plans to attempt to swim across the lake from point A to point B as shown below. To determine how far he will have to swim, he has chosen a point C and determined the label      Log On


   

Question 1038446: Swanson plans to attempt to swim across the lake from point A to point B as shown below. To determine how far he will have to swim, he has chosen a point C and determined the labeled distances. How many miles will he have to swim? Round your answer to two decimal places.

https://s.yimg.com/hd/answers/i/a4ff4433615447b898af508c00027084_A.png?a=answers&mr=0&x=1466191793&s=bc2ab05b921337a6ba3d3000535cabc3
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


You have two sides and the measure of an included angle in a general triangle. Use the Law of Cosines:



Where is measure of the unknown side, and are the measures of the given sides, and is the measure of the included angle.

Plug in your numbers and do the arithmetic.

John

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