Answer: Approximately 8.49 feet
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Explanation:
Draw a right triangle. The reference angle is between the ground and the kite string (aka hypotenuse). The hypotenuse is 12 and the side opposite the reference angle is x.
Refer to the diagram below.
We'll use the sine rule to find x
sin(angle) = opposite/hypotenuse
sin(45) = x/12
12*sin(45) = x
x = 12*sin(45)
x = 8.48528137423857
x = 8.49
This value is approximate.
Make sure your calculator is in degree mode.
I rounded to 2 decimal places, but feel free to round however you need if your teacher instructs otherwise.
