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A lotus is 2m above the water in a pond. Due to wind the lotus slides on the side and only the stem completely submerges in the water

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asked Jan 25, 2018 in Mathematics by Annu Priya (18,055 points) ● 24 ● 46 ● 95

A lotus is 2m above the water in a pond. Due to wind the lotus slides on the side and only the stem completely submerges in the water at a distance of 10m from the original position. Find the depth of water in the pond.

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answered Jan 25, 2018 by Annu Priya (18,055 points) ● 24 ● 46 ● 95
 
Best answer

(x+2)2 = x2 + 102
x2 + 4x + 4 = x2 + 100
=> 4x + 4 = 100
=> x = 24
Depth of the pond = 24m

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