To find the height of the kite, we can create a right triangle with the height of the kite as one leg, the shadow as the other leg, and the line as the hypotenuse.
Let h be the height of the kite. Using the Pythagorean Theorem, we have:
h^2 + 10^2 = 12^2
h^2 + 100 = 144
h^2 = 44
h = sqrt(44)
h ≈ 6.6 ft
Therefore, the height of the kite is approximately 6.6 ft.
A kite flying in the air has 12ft line attached to it. Its line is pulled taut and casts a 10 fr shadow. Find the height of the kite. If necessary, round your answer to the nearest tenth
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