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From a point on the ground, the angles ...

From a point on the ground, the angles of elevation of the bottom and the top of a transmission tower fixed at the top of a 20 m high building are `45o`and `60o`respectively. Find the height of the tower.

Text Solution

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The correct Answer is:
14.64m
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From a point on the ground,the angles of elevation of the bottom and the top of a transmission tower fixed at the top of a 20m high building are and and respectively.Find the height of the tower.

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Knowledge Check

  • From a point on the ground the angles of elevation of the bottom and top of transmission tower fixed at the top of 20 m high building are 45^(@) and 60^(@) respectively. Find the height of the tower ?

    A
    43.3 m
    B
    57.66 m
    C
    86.6 m
    D
    100 m
  • The angle of depression of the top and the bottom of a 7 m tall building from the top of a tower ar 45^(@) and 60^(@) respectively. Find the height of the tower in metres.

    A
    `7(3+sqrt3)`
    B
    `(7)/(2)(3-sqrt3)`
    C
    `(7)/(2)(3+sqrt3)`
    D
    `7(3-sqrt3)`
  • The angles of elevation of the top of a tower at the top and the foot of a pole 10 m high are 30^(@) and 60^(@) respectively. The height of the tower is

    A
    15 m
    B
    20 m
    C
    `10 sqrt(3)` m
    D
    `25 sqrt(3)` m
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