How high above the ground will the kite be?

It is believed that the best angle to fly a kite is 45 . If you fly a kite at this angle, and let out 225 feet of string, approximately how high above the ground will the kite be?

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A right triangle is formed, where the hypotenuse is the length of the string, and the angle of that string to the ground being 45°.  The side opposite the 45° angle is the height of the kite above the ground.

opposite
------------ = sine of an angle
hypotenuse

x
---- = sin 45°
225

x
---- ≈ 0.707107....  {evaluated sine of 45°}
225

x ≈ 159.1   {multiplied each side by 225}

The height of the kite off the ground is approximately 159.1 ft.

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