Math Problem Statement
A barge is hauled along a straight-line section of canal by two horses harnessed to tow ropes and walking along the tow paths on either side of the canal. Each horse pulls with a force of 827 N at an angle of 15° with the centerline of the canal. Find the sum of these two forces on the barge.
Solution
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Vector Decomposition
Formulas
F_horizontal = F * cos(θ)
F_vertical = F * sin(θ)
Total force = 2 * F * cos(θ)
Theorems
Pythagorean theorem (for vector components)
Suitable Grade Level
Grades 10-12
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