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The angle of elevation of the top of a t...

The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower is `30^(@)`. Find the height of the tower.

Text Solution

Verified by Experts

The correct Answer is:
`h=10sqrt3`m.
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Explore conceptually related problems

The angle of elevation of the top of a tower from a point on the ground, which is 30m away from the foot of the tower, is 30^(@) . Find the height of the tower.

The angle of elevation of the top of a tower from a point on the groud, which is 30 m away from the foot of the tower is 30^(@) . Find the height of the tower.

Knowledge Check

  • The angle of elevation of the top of a tower from a point of the ground, which is 30 m away from the foot of a tower of height 10sqrt3 , is:

    A
    `45^(@)`
    B
    `60^(@)`
    C
    `30^(@)`
    D
    `90^(@)`

  • Aman observes that the angle of elevation of the top of a tower from a point P on the ground is alpha .He moves a certain distance towards the foot of the tower and finds that the age of elevation of the top has doubled. He further moves a distance 3/4 of the previous and finds that the ele of elevation is three times that all. The angle is given by :

    A
    `sin alpha =3/4`
    B
    `sin alpha = 3/8`
    C
    `sin alpha = sqrt ((5)/(12))`
    D
    `cos alpha = sqrt((5)/(12)).`

  • If the angle of elevation of the top of a tower from a distance of 100m from its foot is 60^(@) , the height of the tower is

    A
    `100sqrt(3) m`
    B
    `(100)/sqrt(3)` m
    C
    `50sqrt(3) m`
    D
    `(200)/sqrt(3)` m

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    The angle of elevation of the top of a tower from a point the ground, which is 30 m away from the foot of the tower, is 30^(@) . Find the height of the tower.

    The angle elevation of the top of a tower from a point C on the ground. Which is 30 m away from the foot of the tower is 30^(@) . Find the height of the tower.

    The angle of elevation of the top of a tower from a point O on the ground, qhich is 450 m away from the foot of the tower, is 40^(@) . Find the height of the tower.

    The angle of elevation of the top of a tower from two points at a distance of 4m and 9 m from the base of the tower and in the same straight line with it are complementary. Prove that the height of the tower is 6m.

    The angle of elevation of the top of a hill from the foot of a tower is 60^(@) and the angle of elevation of the top of the tower from the foot of the hill is 30^(@) . If the height of the tower is 50 m, what is the height of the hill?

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