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A tree of height ‘h’ metres is broken by a storm in such a way that its top touches the ground at a distance of ‘x’ metres from its root. Find the height at which the tree is broken. (Here h > x)
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h² + x² metre 2h -
h² - x² metre 2h -
h² + x² metre 4h -
h² - x² metre 4h
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Correct Option: B
According to question , we draw a figure 
AB = Height of tree = h metre , AC = Required height = y metre
BC = CD = Broken part of tree = (h – y) metre
∴ In ∆ ACD,
AC² + AD² = CD²
⇒ y² + x² = (h – y)²
⇒ y² + x² = h² + y² – 2hy
⇒ x² = h² – 2hy
⇒ 2hy = h² – x²
| ⇒ y = | metre | |
| 2h |
