A kite is flying at a height of 45 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 60o. Find the length of the string assuming
that there is slack in the string.

Solution

Given: Position of kite is B.

Height of kite above ground is = 45 m.

Angle of inclination is = 60⁰

Required length of string is = AB.

In right angled triangle AOB,

$SinA = \frac{OB}{AB} \Rightarrow Sin 60 ° = \frac{45}{AB} \Rightarrow \frac{\sqrt{3}}{2} = \frac{45}{AB} \Rightarrow AB = \frac{45 X 2}{\sqrt{3}} \Rightarrow AB = \frac{90}{\sqrt{3}} \Rightarrow AB = \frac{90 X \sqrt{3}}{\sqrt{3} X \sqrt{3}} = \frac{90 X \sqrt{3}}{3} \Rightarrow AB = 30 \sqrt{3} m .$

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Some Applications Of Trigonometry

A kite is flying at a height of 45 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 60o. Find the length of the string assuming
that there is slack in the string.

Some More Questions From Some Applications of Trigonometry Chapter

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For Daily Free Study Material Join wiredfaculty

Some Applications Of Trigonometry

A kite is flying at a height of 45 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 60o. Find the length of the string assumingthat there is slack in the string.

Some More Questions From Some Applications of Trigonometry Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A kite is flying at a height of 45 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 60o. Find the length of the string assuming
that there is slack in the string.