SOLUTION: A triangular field is fenced on two sides. The third side of the field is formed by a river. If the two fenced sides Measure 150 meters and 98 meters and the angle between the fenc

Algebra ->  Test -> SOLUTION: A triangular field is fenced on two sides. The third side of the field is formed by a river. If the two fenced sides Measure 150 meters and 98 meters and the angle between the fenc      Log On


   

Question 1157453: A triangular field is fenced on two sides. The third side of the field is formed by a river. If the two fenced sides Measure 150 meters and 98 meters and the angle between the fence is 85 degrees, how long is the side along the river to the nearest meter? Show a sketch and work.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Use Law Of Cosines.

Answer by ikleyn(52914) About Me  (Show Source):
You can put this solution on YOUR website!
.

Apply the cosine law.


c = sqrt%28a%5E2+%2B+b%5E2+-+2ab%2Acos%28gamma%29%29 = sqrt%28150%5E2+%2B+98%5E2+-+2%2A150%2A98%2Acos%2885%5Eo%29%29.


You do the calculations.

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On the "cosine law", see the lessons
    - Proof of the Law of Cosines revisited
    - Solve triangles using Law of Cosines
in this site.