A Kite Flying at a height of 120 m is attached to a string which makes an angles of 60° with the horizontal . What is the length ( in m ) of the string ?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 80 √3
Height of the flying kite H = 120 m
Angle with the horizontal = 60°
A flying kite will make a right-angle triangle and string will be the hypotenuse of this triangle so we use the sine of an angle to find out the string length.
Length of the String = L m
sin x = H/L
sin 60° = 120/L
32 = 120/L
L = 80√3 m