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, A pole broke at a point but did not separate. Its top touched the ground at a distanceof 5 m from its base. If the point where it broke is at a height of 12 m from the ground,what was the total height of the pole before it broke? |
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Answer» Let the point where it broke be B.the base be C.the fallen top be A.ABC form right triangle where angle c is 90.AC is 5m.BC is 12 m.by pythagoras theorem,AB2 = BC2 + AC2AB2 = 12square + 5squareAB2 = 144 + 25AB2 = 169Ab = 13total height of pole before breaking = 12m + 13m=25m |
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