A boy lets out 150 feet of kite string. The string makes an angle of 64 degree with the ground. assuming the string is straight, how high above the ground is the kite? round to the nearest tenth of a foot.
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To determine the height of the kite above the ground, we can use trigonometry. Specifically, we can use the formula:
Height = Length of string * sin(Angle)
In this case, the length of the string is given as 150 feet, and the angle with the ground is 64 degrees. Let's plug in these values into the formula:
Height = 150 feet * sin(64 degrees)
Now, we need to calculate the sine of 64 degrees. We can use a scientific calculator or an online trigonometry calculator to find the sine of an angle. Let's assume that the sine of 64 degrees is approximately 0.8988.
Height = 150 feet * 0.8988
Height ≈ 134.8 feet
Therefore, the kite is approximately 134.8 feet above the ground.