SOLUTION: A kite is flying on 250 feet of string. How high is it above the ground if its height is 146 feet more than the horizontal distance from the person flying​ it? Assume the string

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Question 1192004: A kite is flying on 250 feet of string. How high is it above the ground if its height is 146 feet more than the horizontal distance from the person flying​ it? Assume the string is being released at ground level.
The kite is _____ ft above the ground.
Thanks for your help!(:
Found 2 solutions by math_tutor2020, MathLover1:
Answer by math_tutor2020(3817)   (Show Source): You can put this solution on YOUR website!

Draw out a right triangle with the following properties:We'll need the pythagorean theorem to tie together the three sides mentioned.
The goal is to find x, and then use that to compute x+146 to get the height.















Next, apply the quadratic formula.
We'll use a = 2, b = 292, c = -41184








or

or

or
Negative lengths or distances don't make sense, so we ignore the negative x value.

We only focus on and it leads to

Answer:
The kite is 234 feet in the air
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
let a right triangle represent this situation
the kite string would be the hypotenuse (ft),
the base is the horizontal distance (ft.), and
the height of the kite would be the triangle's height (ft.)
Using the Pythagorean theorem, you can write:


........using quadratic formuula we get

->disregard negative solution for distance
height
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