Question

A kite is flying attached to a thread which is 165 M long thread makes an angle of 30 degree with the ground find the height of the kite from the ground assuming that there is no slack in the thread

Answer 1

Hope this helps u out

Answer 2

Answer:

82. 5 m

Step-by-step explanation:

Refer the attached figure.

A kite is flying attached to a thread which is 165 m long i.e. AB = 165 m

Thread makes an angle of 30 degree with the ground i.e. ∠ABC = 30°

We are supposed to find the the height of kite from the ground i.e. AC .

We will use trigonometric ratio :

In ΔABC

AB = Hypotenuse = 165 m

AC = perpendicular

∠ABC = 30°

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

$Sin30^{\circ}=\frac{AC}{AB}$

$\frac{1}{2}=\frac{AC}{165}$

$\frac{1}{2}\times 165=AC$

$82.5 m=AC$

Hence the the height of the kite from the ground  is 82. 5 m