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A kite is 100m above the ground. if there are 200m of string out what is the angle between the string and the horizontal? (assume that the string is perfectly straight).

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Answer : The angle between the string and the horizontal is 30 degrees

Explanation: Imagine this a a triangle where the length of the string (200m) is the hypotenuse and the height of the kite is the opposite side (100m) .

Let the angle between the string and the horizontal be theta.

Now sin (Theta) = opposite side/hypotenuse

= 100/200 = 1/2

Therefore Theta = Sin ⁻¹ ( 1/2 )

Theta = 30 degrees

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