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A kite is flying at a height of 15 m from level ground. It is attached to a string inclined at 30° to the horizontal. The length of the string is:
Question

A kite is flying at a height of 15 m from level ground. It is attached to a string inclined at 30° to the horizontal. The length of the string is:

A.

20 m

B.

15 m

C.

25 m

D.

30 m

Correct option is D

Given:

Height of the kite from the ground = 15 m
Angle of inclination of the string with the horizontal = 30°

Formula Used:
In a right-angled triangle,
sin θ = Opposite side / Hypotenuse
=> sin(30°) = height / length of string

Solution:
sin(30°) = 1/2
So,

sin(30°) = height / hypotenuse

=> 1/2 = 15 / length of string
So,
length of string = 15 / (1/2) = 30 m

Correct Final Answer:
30 m

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