1.

A kite is flying at a height of 60 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.

Answer» let the point on the ground be C making angle`60^@`
A be the point at where kite is
B be the distance of kite from ground
so we have to find AC
`/_ ABC ` is a right angled triangle
`/_ C = 60^@`
`sin /_C = (AB)/(AC)`
`sqrt 3/2 = sin 60^@ = (60)/(AC)`
`AC(sqrt3/2) = 60`m
AC`= 60*2/sqrt3`
`= 120/sqrt3`
`120 sqrt3/3`
`=40sqrt3`m
answer


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