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Draw a right triangle. The balloon is at the top of the short side, and the base is the distance from the person's hand along a path parallel to the ground to where the balloon hovers. Since the angle is 35 degrees, we want the length of that short side, and we get it using the sine function of trigonometry. Sine = opposite over hypotenuse, so we can write an equation where "x" is the short side:

x/30 = sin35

x/30 = 0.5736

x = 17.21

Now add to this the 6.5 feet that the person's hand is off the ground, and the balloon is 23.71 feet above the ground.

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