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प्रश्न
A kite is flying at a height of 30 m 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.
विकल्प
`20 sqrt3` m
30 m
`30 sqrt 3` m
60 m
MCQ
उत्तर
`20 sqrt3` m
Explanation:
The situation can be represented by the figure below:
In the given right-angled triangle:
`"sin" (angle "ACB") = "AB"/"AC"`
`=> "sin"60° = "AB"/"AC"`
`=> "AC" = "AB"/("sin" 60^circ)`
`= 30/(sqrt3/2) = 60/sqrt3`
`= 20 sqrt3`
`therefore "Length of the string is" 20 sqrt3 "m"`
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