The length of a string between a kite and a point on the ground is 60 -3 m- If the string makes an angle of 60- with the ground- how high is the kite- Assume there is no slack in the string-

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Standard IX

Mathematics

Calculating Heights and Distances

The length of...

Question

The length of a string between a kite and a point on the ground is 60 $\sqrt{3}$ m. If the string makes an angle of $60^{\circ}$ with the ground, how high is the kite? (Assume there is no slack in the string).

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Solution

Drop a perpendicular from the kite to the ground. This becomes the opposite side with respect to the angle of elevation.

So, height = hypotenuse $\times$ sin $60^{\circ}$ = 90m.

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The length of a string between a kite and a point on the ground is 60√3 m. If the string makes an angle of 60∘ with the ground, how high is the kite? (Assume there is no slack in the string).

Drop a perpendicular from the kite to the ground. This becomes the opposite side with respect to the angle of elevation. So, height = hypotenuse × sin60∘ = 90m.

The length of a string between a kite and a point on the ground is 60 $\sqrt{3}$ m. If the string makes an angle of $60^{\circ}$ with the ground, how high is the kite? (Assume there is no slack in the string).

Drop a perpendicular from the kite to the ground. This becomes the opposite side with respect to the angle of elevation.

So, height = hypotenuse $\times$ sin $60^{\circ}$ = 90m.