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 30 ∘ . Find the length of the string(in meters), assuming that there is no slack in the string. Options: A . &nbsp60 m B . &nbsp40 m C . &nbsp30 m D . &nbsp20√3 m

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

30^{\circ}

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

Options:

A . 60 m

B . 40 m

C . 30 m

D . 20√3 m

Answer: Option A
:
A
The given 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 30^{\circ} = \frac{A B}{A C} \Rightarrow A C = \frac{A B}{s i n 30^{\circ}} = \frac{30}{\frac{1}{2}} = 60 m

Therefore length of the string is 60 m.

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