SOLUTION: Hey, can anyone help me with this question I am confused. Thank you A surveyor is mapping a triangular field. From one corner he sights between the two opposite corners and fin

Question 1189700: Hey, can anyone help me with this question I am confused. Thank you
A surveyor is mapping a triangular field. From one corner he sights between the two opposite corners and finds an angle of 56°. He knows that he length of the opposite side of the field is 60m while the side to his left is 70m. The surveyor creates one drawing of the field and sends the single drawing and a bill to the client. Should the client pay the bill? Explain your reasoning
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
There is enough information to solve the triangle
using the Law of Sines he knows what 60/sin 56 is.
The corner to the right has an unknown angle, but the side opposite to that angle is 70 m in length.
Therefore, 70/sin x=60/sin 56, and x will turn out to be 75.3 degrees.
From there, the last angle is 48.7 degrees and 54.37 m.
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One may check by using the Law of Cosines, cosine 48.7 degrees for the last angle.
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