# The string of a kite is 100 m long and it makes an angle of 60° with the horizontal. If there is no slack in the string, the height of the kite from the ground isA. 50√3 mB. 100√3 mC. 50√3 mD. 100 m

In the above figure, let A be the position of the kite. Draw a perpendicular AB from A onto the ground. Since there is no slack in the string, so we can take AC = 100 m to be the string, where C is the position where the string touches the ground. Also, the string makes an angle of 60° with the horizontal. Join B and C. So we get a right-angled triangle ABC with right angle at B and ACB = 60°. We have to find the height of the kite from the ground, that is, AB.

or,

or,

Hence the correct choice is A.

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