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At a point 20 m away from the foot of a ...

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

`20sqrt3m`

B

`(20)/(sqrt3)m`

C

`(sqrt3)/(20)m`

D

None of these

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • 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`

  • From 40 m away from the foot of a tower , the angle of elevation of the top of the tower is 60^(@) .What is the height of the tower ?

    A
    `(120)/(sqrt(3))` m .
    B
    `(60)/(sqrt(3))` m .
    C
    `(50)/(sqrt(3))` m .
    D
    `(130)/(sqrt(7))`m .

  • 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)`

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