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Two poles are placed 15 feet apart. One pole is 8 feet high, and the other is 16 feet high. The top of each pole is attached to the base of the other by cables that run in a straight line. Algebraically determine how high above the ground the two cables cross.
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i would graph these out, find the equations of each of the cables, and solve them as a system of equations to find their point of intersection. the y value would be the height of where they cross
The height of where the cables intersect should be 16/3 feet, or 5 1/3 ft.
Can you show me your process for solving that?
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