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A tower stands at the centre of a cir...

A tower stands at the centre of a circular park. A and B are two points on the boundary of the park such that `A B""(=""a)` subtends an angle of `60^@` at the foot of the tower, and the angle of elevation of the top of the tower from A or B is `30^@` . The height of the tower is (1) `(2a)/(sqrt(3))` (2) `2asqrt(3)` (3) `a/(sqrt(3))` (4) `asqrt(3)`

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Knowledge Check

  • A tower stands at the centre of a circular park. A and B are two points on the boundary of the park such that AB(=a) subtends an angle 60^(@) at the foot of the tower, and the angle of elevation of the top of the tower from A or B is 30^(@) . The height of the tower is:

    A
    `(2a)/(sqrt(3))`
    B
    `2asqrt(3)`
    C
    `(a)/(sqrt(3))`
    D
    `asqrt(3)`

  • At a point 20 m away from the foot of a tower, the angle of elevation of the top of the tower is 30^@ The height of the tower is

    A
    `20 sqrt(3) m`
    B
    `(20)/(sqrt(3))m`
    C
    `(sqrt(3))/(20m )`
    D
    None of these

  • From a point 20 m away from the foot of a tower, the angle of elevation of the top of the tower is 30^(@) . The height of the tower is

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