A kite is flying at a height of 30 m above the ground. The string attached to th

Question

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^{\circ}

. Find the length of the string, assuming that there is no slack in the string.

Options:

A . 20√3 m

B . 30 m

C . 30√3 m

D . 60 m

Answer: Option A
:
A
The situation can be represented by the figure below:

A Kite Is Flying At A Height Of 30 M Above The Ground. The S...

In the given right-angled triangle:

s i n (∠ A C B) = \frac{A B}{A C}

\Rightarrow s i n 60^{\circ} = \frac{A B}{A C}

\Rightarrow A C = \frac{A B}{s i n 60^{\circ}} = \frac{30}{\frac{\sqrt{3}}{2}} = \frac{60}{\sqrt{3}} = 20 \sqrt{3}

∴

Length of the string is

20 \sqrt{3} m .

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