Answer:
The kite string is [tex]55[/tex] feet long.
Explanation:
Use the Pythagorean Theorem, which is [tex]a^2 + b^2 = c^2[/tex].
Here the question is asking for [tex]c[/tex], which would be the hypotenuse, or the longest side of the triangle.
So the [tex]a[/tex] would be [tex]20 + 13[/tex], and the [tex]b[/tex] would be [tex]44[/tex].
Plug those values into the formula, and that would get [tex]33^2 + 44^2 = c^2[/tex].
Now, solve for [tex]33^2 + 44^2[/tex], which would equal [tex]3025[/tex].
That means we would have to solve for [tex]3025 = c^2[/tex].
Square root both sides of the equation, getting [tex]c = \sqrt{3025}[/tex].
Solve for [tex]\sqrt{3025}[/tex], which would get us [tex]55[/tex].
Hence, the answer to this would question would be [tex]55[/tex].
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