A dam is inclined at an angle of 30° from the vertical and has the shape of an isosceles trapezoid 180 ft wide at the top and 90 ft wide at the bottom and with a slant height of 140 ft. Find the hydrostatic force on the dam when it is full of water. (Round your answer to the nearest whole number. Recall that the weight density of water is 62.5 lb/ft³.)
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We can use the Pythagorean theorem to find it: h^2 = (slant height)^2 - ((180-90)/2)^2 h^2 = 140^2 - 45^2 h^2 = 17955 h ≈ 134 ft Show more…
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