Question

Please solve! Solve for Y.

Answer 1

when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one. Check the picture below.

`\cfrac{24}{y}=\cfrac{y}{30}\implies 720=y^2\implies √(720)=y\implies 12√(5)=y\implies 26.83\approx y`