7. A kite tied to a string makes an angle of \[{{60}^{\circ }}\] with the ground. Find the perpendicular height of the kite if the length of its string is $250m$. - Noon Academy

7. A kite tied to a string makes an angle of

${{60}^{\circ }}$

with the ground. Find the perpendicular height of the kite if the length of its string is $250m$ .

Class 10 | Frank | Heights and Distances | ICSE | Maths

7. A kite tied to a string makes an angle of

${{60}^{\circ }}$

with the ground. Find the perpendicular height of the kite if the length of its string is $250m$ .

According to the question,

Let us assume that P is the kite in sky and the string is tied to point R on ground.

Then,

In ΔPQR,

$\sin {{60}^{\circ }}=\frac{PQ}{PR}$

$\frac{\sqrt{3}}{2}=\frac{h}{250}$

$h=\frac{250\sqrt{3}}{2}$

$h=125\sqrt{3}m$

Therefore, the required perpendicular height of the kite is

$125\sqrt{3}m$

.

i

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