Math Problem Statement
A 105-foot tower is located on the side of a mountain that is inclined 32° to the horizontal. A guy wire is to be attached to the top of the tower and anchored at a point 55 ft downhill from the base of the tower as shown in the following figure. A tower is on a mountain. The tower is 105 ft tall. The mountain makes an angle of 32° from the horizon. A guy wire goes from the top of the tower to a point 55 ft down the slope of the mountain. Find the shortest length of wire needed. (Round your answer to the nearest foot.)
Solution
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Math Problem Analysis
Mathematical Concepts
Geometry
Trigonometry
Law of Cosines
Formulas
c² = a² + b² - 2ab * cos(θ)
Theorems
Law of Cosines
Suitable Grade Level
Grades 10-12
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