A kite

Children have a kite on an 80m long rope, which floats above a place 25m from the place where children stand. How high is the dragon floating above the terrain?

Result

a =  75.993 m

Solution:

c=80 m b=25 m  a2+b2=c2  a=c2−b2=802−252≐5 231≐75.9934≐75.993 mc=80 \ \text{m} \ \\ b=25 \ \text{m} \ \\ \ \\ a^2+b^2=c^2 \ \\ \ \\ a=\sqrt{ c^2-b^2 }=\sqrt{ 80^2-25^2 } \doteq 5 \ \sqrt{ 231 } \doteq 75.9934 \doteq 75.993 \ \text{m}

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