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You are flying your dragon kite. It's connected to 38yd of string. The kite is directly above the edge of the pond. The edge of the pond is 34yd from where the kite is tied to the ground. How high is the kite above the edge of pond? ( round answer to nearest tenth) PLEASE HELP

Verified Answer :

bartdrinksmalk

We have a right triangle with hypotenuse 38 and leg 34.
We want to find the other leg.

We use the Pythagorean Theorem:
\(a^{2}+b^{2}=c^{2}\)
\(\Rightarrow a^{2}+34^{2}=38^{2}\)
\(\Rightarrow a^{2}+1156=1444\)
\(\Rightarrow a^{2}=288\)
\(\Rightarrow a=12\sqrt{2}\approx 17.0\)