Math, asked by sam641, 1 year ago

the string of a kite is 150m long and it makes an angle of 60 degree with the horizontal. find the height of the kite above the ground

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Answered by hdewangan
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Answered by RenatoMattice
30

Answer: Height of the kite is 75√3 m.

Step-by-step explanation:

Since we have given that

Length of string of kite = 150 m

Angle of elevation formed by a kite with the horizontal = 60°

We need to find the height of kite.

Consider Δ ABC, as shown in the figure:

\sin 60^\circ=\dfrac{AB}{AC}\\\\\dfrac{\sqrt{3}}{2}=\dfrac{AB}{150}\\\\\dfrac{150\sqrt{3}}{2}=AB\\\\75\sqrt{3}\ m=AB

Hence, height of the kite is 75√3 m.

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