Support Beams

Calculus Level 2

A roof with an incline rests its lower end on a horizontal beam. It is supported by 23 equally spaced, increasingly tall vertical beams which also rest on the horizontal beam. The tallest beam is 4 meters high and rests on the horizontal beam at a point 5 meters from the lower end of the roof. Find the sum of the heights of the vertical beams (in meters).

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