Using Pythagoras's theorem we can write, (Hypotenuse)^2 = (Perpendicular)^2 + (Base)^2 Here the hypotenuse and base (shadow) are given and we have to find the length of the flag pole i.e. The perpendicular to the shadow. So (Perpendicular)^2 = (40)^2 - (32)^2 Using a62 - b^2 = (a+b)(a-b) we can write (Perpendicular)^2 = (40+32)(40-32) = 72 * 8 = 9 * 8 * 8 => Perpendicular =

**Height of flag pole**= sqrt (9 * 8 * 8) = 3 * 8 =**24 meters**