SOLUTION: A kite is flying on 170 feet of string. How high is it above the ground if its height is 82 feet more than the horizontal distance from the person flying it? Assume the string i
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Question 1185801: A kite is flying on 170 feet of string. How high is it above the ground if its height is 82 feet more than the horizontal distance from the person flying it? Assume the string is being released at ground level.
The kite is _____ feet above ground. Found 2 solutions by Alan3354, greenestamps:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! The kite is _____ feet above ground.
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The information describes a right triangle with legs x (along the ground) and x+82 (the height above the ground) and a hypotenuse (the kite string) of 170.
Use the Pythagorean Theorem:
That gives a quadratic equation that you can solve to find x and then find the height.
The numbers are large enough that solving by factoring, or even using the quadratic formula, is messy. I would graph the two functions and with a graphing calculator and find where they intersect.