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A tree is broken by the wind. The top of...

A tree is broken by the wind. The top of that tree struck the ground at an angle of` 30^(@)` and at a distance of 30 m from the root. Find the height of the whole tree. ( `sqrt(3)` = 1.73)

Text Solution

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The correct Answer is:
`69.28m`
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A tree is broken by the wind. The top struck the ground at an angle of 30^(@) and at a distance of 4 m from the root. Find the height of the tree before broken.

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Knowledge Check

  • A tree is broken by the wind. If the top of the tree struck the ground at an angle of 30^(@) and at a distance of 30 m from the root, then the height of the tree is

    A
    `25 sqrt3` m
    B
    `30sqrt3` m
    C
    `15 sqrt3` m
    D
    `20 sqrt3` m

  • A pole broken by the storm of wind and its top struck the ground at the angle of 30^(@) and at a distance of 20 m from the foot of the pole. The height of the pole before it was broken was

    A
    `20sqrt(3)m`
    B
    `(40sqrt(3))/3` m
    C
    `60sqrt(3)` m
    D
    `(100sqrt(3))/3` m

  • A tree is broken at a height of 5m from the ground and its top touches the ground at a distance of 12m from the base of the tree. Find the original height of the tree

    A
    `17m`
    B
    `18m`
    C
    `16m`
    D
    `14m`

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