the length of the string between a kite and a point on the ground is 90m the string - Maths - Some Applications of Trigonometry

Question

the length of the string between a kite and a point on the
ground is 90m the string makes an angle of 60 degrees with the
level ground assuming that their is no slack in the string find the
height of the kite

Ajanta Trivedi · Accepted Answer

let the length of the string be AC=90 m let the kite be at the point A let the height of the kite be AB= h m since string makes an angle of 60 deg with the ground level âˆ ACB= 60 deg now in the right angled triangle ABC $\sin 60 = \frac{A B}{A C} \frac{\sqrt{3}}{2} = \frac{h}{90} h = 90 * \frac{\sqrt{3}}{2} = 45 \sqrt{3} h = 45 * 1 732 = 77 94 m$

the length of the string between a kite and a point on the ground is 90m . the string makes an angle of 60 degrees with the level ground . assuming that their is no slack in the string find the height of the kite