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A tower stands vertically on the ground....

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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A tree stands vertically on a hill side which makes an angle of 15^(@) with the horizontal. From a point on the ground 35m . Down the hill from the base of the tree, the angle of elevation of the top of the tree is 60^(@) . Find the height of the tree.

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Knowledge Check

  • 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

  • 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 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

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