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發問:

two straight sticks fall in a well wif vertical sides. the width of the well is 3m. the sticks lie on a vertical plane, and have lengths 4m and 5m. At what height do the sticks cross?

最佳解答:

assume the intersection point is R and the height is hm the base angles are arccos 3/5 = 53.13 arccos 3/4 = 41.41 the third angle in the same triangle is 180-53.13-41.41=85.46 use sine formula 3/sin85.46=a/sin41.41 asin53.13=h h=3*sin41.41sin53.13/sin85.46 =1.59

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