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The angle of elevation of the top of an ...

The angle of elevation of the top of an incomplete vertical pillar at a horizontal distance of 100 m from its base is `45^(@)`. If the angle of elevation of the top of the complete pillar at the same point is to be `60^(@)`, then the height of the incomplete pillar is to be increased by

A

`50 sqrt(3)`

B

`100 sqrt(2)`

C

`100 sqrt(3)`

D

`100 (sqrt(3) - 1)`

Text Solution

Verified by Experts

The correct Answer is:
D
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The angle of elevation of the top of an incomplete vertical pillar at a horizontal distance of 50m from its base is 45^(@). If the angle of elevation of the top of the complete pillar the same point is to be 60^(@), then the height of the incomplete pillar is to be increased by

The angle of elevation of the top of an incomplete vertical pillar at a horizontal distance of 100m from its base is 45^@ . IF the angle of elevation of the top of complete pillar at the same point is to be 60^@ then the height of the incomplete pillar is to be increased by

Knowledge Check

  • The angle of elevation of the top of an incomplete vertical pillar at horizontal distance 100 m from its base is 45 supset . If the angle of elevation of the top of the complete pillar at the same point is to be 60^(@) , then the height of the incomplete pillar is to be increased by

    A
    `50sqrt(2)`m
    B
    100 m
    C
    `100(sqrt(3)-1)` m
    D
    `100(sqrt(3)+1)` m

  • The angle of elevation of the top of an unfinished tower at a distance of 100 m from its base is 45^(@) . How much higher must the tower be raised so that angle of elevation of its top at the same point may be 60^(@) ?

    A
    `50sqrt(2)` m
    B
    100 m
    C
    `100(sqrt(3)-1)` m
    D
    `100(sqrt(3+1))` m

  • The angle of elevation of the top of a half constructed tower at a distance of 150 m from the base of the tower is 30^(@) . If angle of elevation of top of tower from that point is to be 45^(@) , then by what amount height of the tower be increased ?

    A
    59.4 m
    B
    61.4 m
    C
    62.4 m
    D
    63.4 m

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