The string of a kite is 100 meters long and it makes an angle of 60° with the ground. What is the height of the kite?

86.5 m

Step-by-step explanation:

Length of the string forms the hypotenuse AC of right angle triangle ABC.

C is the kite. A is the hand of the person (or, one end of the string). CB is the perpendicular (height of the kite) from C on the ground. BC is the horizontal.

Sin 60° = CB/AC = √3/2

height = 1.73/2 * AC = 0.865 * 100 m = 86.5 m