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.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.3: Informal Geometry And Measurement
Problem 29E: On a piece of paper, use your compass to construct a triangle that has two sides of the same length....
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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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