A kite is flying at a height of 60 m above the ground. The string attached to the kite is temporarily tied to the ground. The inclination of the string with the ground is 60º. Find the length if the string, assuming that there is no slack in the string. ( √3 = 1.73)

6. A kite is flying at a height of 60 m above the ground. The string attached to the kite is temporarily tied to the ground. The  inclination of the string with the ground is 60º. Find the length  if the string, assuming that there is no slack in the string. ( √3 = 1.73)

Sol.

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.