Crane Height

Geometry Level pending

There is a crane and you have measured the spreads between the ground and the top of the crane from two opposing sides as \(\frac{4}{5}\) and \(\frac{16}{25}\). These two places from which you measured are a distance of 100 meters apart.

How tall is the crane?

Tip: Use the triple spread formula \((s_1+s_2+s_3)^2=2(s_1^2+s_2^2+s_3^2)+4s_1s_2s_3\) and the fact the a spread is equal to the square of the opposite sides length over the hypotenuse side length (reminiscent of \(SOH-CAH-TOA\)).

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