a lotus is 2m above the water in a pond due to, Mathematics

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a lotus is 2m above the water in a pond due to

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

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