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A kite is flying at a height of 75m from...

A kite is flying at a height of 75m from the level ground, attached to a taut string inclined at `60^(@)` to the horizontal. Then, the length of the string is …………m

Text Solution

Verified by Experts

The correct Answer is:
`50 sqrt3`
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A kite is flying at a height of 60m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is 60^(@) . Find the length of the string, assuming that there is no slack in the string.

A constractor plans to install two slides for the children to play in a park. For the children below the age of 5 years, she prefers to have a slide whose top is at a height of 1.5m, and is inclined at an angle of 30^(@) to the ground, whereas for elder children, she wants to have a steep slide at a height of 3m, and inclined at an angle of 60^(@) to the ground. What should be the length of the slide in each case ?

Knowledge Check

  • The top of two poles of height 16m and 10m are connected by a wire. If the wire makes an angle of 30^(@) with the horizontal, then its length is……….m

    A
    26
    B
    16
    C
    12
    D
    10

  • The angle of elevation of a bird sitting on top of a tree as seen from the point at a distance of 20m from the base of the tree is 60^(@) . Then, the height of the tree is ……..m

    A
    `20 sqrt3`
    B
    `10 sqrt3`
    C
    20
    D
    10

    • Similar Questions

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    A body is thrown with some velocity from the ground. Maximum height when it is thrown at 60^(@) to horizontal is 90m. What is the height reached when it is thrown at 30^(@) to the horizontal:-

    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

    A kite is flying at a height 151.5 m from horiozontal. The speed of the kite is 10 m/s. The distance of the kite from a boy who flies the kite is 250 m. Find the rate of change of thread of the kite.

    A ladder makes an angle of 60^(@) with the ground, when placed leaning on a wall. If the foot of the ladder is 8m away from the wall, then the length of the ladder is ………m

    Suppose you are shooting an arrow from the top of a building at an height of 6 m to a target on the ground at an angle of depression of 60^(@) . What is the distance between you and the object?

    A kite is moving horizontally at a height of 151.5 meters. If the speed of kite is 10 m/s, how fast is the string being let out , when the kite is 250 m away from the boy who is flying the kite ? The height of boy is 1.5 m.

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