SOLUTION: a farmer plans to build a triangular fence with side lengths of 500m, 461m, and 408m. Determine the measures of the angles between the adjacent sides of the fence, to the nearest d

Algebra ->  Trigonometry-basics -> SOLUTION: a farmer plans to build a triangular fence with side lengths of 500m, 461m, and 408m. Determine the measures of the angles between the adjacent sides of the fence, to the nearest d      Log On


   

Question 824276: a farmer plans to build a triangular fence with side lengths of 500m, 461m, and 408m. Determine the measures of the angles between the adjacent sides of the fence, to the nearest degree. provide a labeled sketch
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
You can find a reference about Law of Cosines in your Trigonometry book, and maybe in other sources.

The angle between the 500m and the 461m side is according to this:
500%5E2%2B461%5E2-2%2A500%2A461%2Acosine%28alpha%29=408%5E2, and I call this angle between them to be alpha.

500%5E2%2B461%5E2-408%5E2=2%2A500%2Acosine%28alpha%29
cosine%28alpha%29=%28500%5E2%2B461%5E2-408%5E2%29%2F%282%2A500%29
... and keep going until you find this alpha.

Use the same arrangement for every angle in this triangle.