A triangular plot of land is enclosed by a fence. One side of the fence is 140 m long with an opposite angle of 40 degrees. An adjacent side of the fence is 200 m long with an opposite angle of θ. a) Determine how many possible triangles can be made from the following situation, justify your conclusion, and sketch each triangle. b) Determine the possible values of θ to the nearest degree. c) Determine the perimeter of each possible triangular plot of land.
A triangular plot of land is enclosed by a fence. One side of the fence is 140 m long with an opposite angle of 40 degrees. An adjacent side of the fence is 200 m long with an opposite angle of θ. a) Determine how many possible triangles can be made from the following situation, justify your conclusion, and sketch each triangle. b) Determine the possible values of θ to the nearest degree. c) Determine the perimeter of each possible triangular plot of land.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Additional Topics In Trigonometry
Section3.2: Law Of Cosines
Problem 1ECP: Find the three angles of the triangle whose sides have lengths a=6 centimeters, b=8 centimeters, and...
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A triangular plot of land is enclosed by a fence. One side of the fence is 140 m long with an opposite angle of 40 degrees. An adjacent side of the fence is 200 m long with an opposite angle of θ.
a) Determine how many possible triangles can be made from the following situation, justify your conclusion, and sketch each triangle.
b) Determine the possible values of θ to the nearest degree.
c) Determine the perimeter of each possible triangular plot of land.
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