Question 107

A kite is flying at a height of 123 m. The thread attached to it is assumed to bestretched straight and makes an angle of $$60^\circ$$ with the level ground. The length ofthe string is (nearest to a whole number):

Solution

Let AC be the string of kite = $$x$$ m

In right $$\triangle$$ ABC,

=> $$sin(\angle ACB)=\frac{AB}{AC}$$

=> $$sin(60^\circ)=\frac{\sqrt3}{2}=\frac{123}{x}$$

=> $$x=\frac{246}{\sqrt3}$$

=> $$x=82\sqrt3\approx142$$ m

=> Ans - (C)

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