Question

a person is flying a kite at an angle of elevation 60° the length of the thread is 30 m. find the height of the flying kite and from the ground​

Answer 1

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Answer 2

Height of the flying kite from the ground​ is $15\sqrt{3}m$

Step-by-step explanation:

Given values are,

length of the thread of the kite $= 30 m$

Angle of elevation $= 60^\circ$

Let, height of the flying kite from the ground​ $= x m$

Figure for this attached below

As we know that in a right angle triangle value of $sin\theta$ is given by

              $Sin\theta$   $= \frac{Perpendicular}{Hypotenuse}$

              $Sin 60^\circ = \frac{x}{30}$

putting value of $sin 60^\circ = \frac{\sqrt 3{} }{2}$

We get,

                           $\frac{\sqrt{3} }{2} = \frac{x}{30}$  

By cross multiplication

                           $2x = 30\sqrt{3}$

    Height of the flying kite from the ground, $x = 15\sqrt{3} m$

Thus,

Height of the flying kite from the ground​ is $15\sqrt{3} m$