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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 O on the ground, which is 450 m away from the foot of the tower, is `30^(@)`. Find the height of the tower.

Text Solution

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The correct Answer is:
378 m
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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 ground 30m away from the foot of the tower is 30^(@) . Then, the height of the tower is ……..m

Knowledge Check

  • The angle of elevation of the top of a tower from a point P on the ground is alpha . After walking a distance of d m towards the foot of the tower, the angle of elevation of the top of the tower is found to be beta . Then, ………..holds good.

    A
    `alpha lt beta`
    B
    `alpha gt beta`
    C
    `alpha = beta`
    D
    none of these

  • The angle of elevation of the top of a 15m high tower from a point 15m away from the base of the tower is………

    A
    `30^(@)`
    B
    `60^(@)`
    C
    `45^(@)`
    D
    `75^(@)`

  • The angle of elevation of the top of a tower at a distance 500m from the foot is 30^(@) . Then, the height of the tower is ………m.

    A
    `250 sqrt3`
    B
    `500 sqrt3`
    C
    `(500)/(sqrt3)`
    D
    250

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    A pole stands erect on the ground. If the angle of elevation of the top of the pole from a point 90m away from the foot of the pole is 30^(@) , find the height of the pole.

    The angle of elevation of the top of a tower a point A due south of it is 30^@ and from a point B due west of it is 45^@ .If the height of the tower is 100 meters ,then find the distance AB.

    A tower stands vertically on the ground. From a point on the ground, which is 15m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 60^(@) . Find the height of the tower.

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    The angles of elevation of the top of a tower from two points at a distance of 4m and 9m 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.

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