Find the depth of water in the pond, Mathematics

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.

Ans: (x+2)2 = x2 + 102

x2 + 4x + 4 = x2 + 100

⇒ 4x + 4 = 100

x = 24

Depth of the pond = 24m

 

Posted Date: 4/8/2013 3:27:04 AM | Location : United States







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