Crane Height

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 $SOH-CAH-TOA$ ).