Q3. A kite is flying at a height of 60 m above the ground. The stringa

1.	Q3. A kite is flying at a height of 60 m above the ground. The stringattached to the kite is temporarily tied to a point on the ground.The inclination of the string with the ground is 60°. Find the lengthof the string, assuming that there is no slack in the string
Answer» ⭐seg AB represents the distance of a kite from ground.∴ AB = 60 m seg AC represents the length of the string m ∠ ACB = 60º ❄In right angled ∆ ABC, ↪sin 600= side opposite to 600/Hypotenuse ∴ sin 600= AB/AC ∴ √3/2 = 60/AC ∴ AC = 120/√3 ∴ AC = (120/√3)× (√3/√3) ∴ AC = 40√3 m ∴ AC = 40 × 1.73 ∴ AC = 69.2 m ∴ The length of the string, assuming that there is no slack in the string is 69.2 m.

Q3. A kite is flying at a height of 60 m above the ground. The stringattached to the kite is temporarily tied to a point on the ground.The inclination of the string with the ground is 60°. Find the lengthof the string, assuming that there is no slack in the string

Answer»

⭐seg AB represents the distance of a kite from ground.∴ AB = 60 m

seg AC represents the length of the string

m ∠ ACB = 60º

❄In right angled ∆ ABC,

↪sin 600= side opposite to 600/Hypotenuse

∴ sin 600= AB/AC

∴ √3/2 = 60/AC

∴ AC = 120/√3

∴ AC = (120/√3)× (√3/√3)

∴ AC = 40√3 m

∴ AC = 40 × 1.73

∴ AC = 69.2 m

∴ The length of the string, assuming that there is no slack in the string is 69.2 m.