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A boy flying a kite holds the string of length 24.4 m such that it makes an angle of 30° with the ground. Find the height of the kite from the ground.
Question

A boy flying a kite holds the string of length 24.4 m such that it makes an angle of 30° with the ground. Find the height of the kite from the ground.

A.

13.6 m

B.

13.2 m

C.

12.2 m

D.

11.5 cm

Correct option is C

Given
Length of the string (Hypotenuse) = 24.4 m
Angle with the ground (θ) (\theta) ​= 30°
Formula Used
sin(θ)=HeightHypotenuse\sin(\theta) = \frac{Height}{Hypotenuse}​​
Solution
sin(30°)=Height24.4 Sincesin(30°)=12 12=Height24.4 Height=24.42=12.2m\sin(30°) = \frac{Height}{24.4} \\\ \\Since \sin(30°) = \frac{1}{2}\\\ \\\frac{1}{2} = \frac{Height}{24.4} \\\ \\Height = \frac{24.4}{2} = 12.2 m\\​​
Final Answer
So the correct answer is (c) 
Exam Hall Method:

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