At a given point of time, the heights of trees are in proportion to the lengths of the shadows of the trees. A tree of height 25.6 m casts a shadow of 32 m. if the shadow of another tree at that point of time is 48m, then find the height of that tree.

Answer

38.4 m

Explanation

Given 32 : 48 : : 25.6 :x
` 32 / 48 = ( 25.6)/x Rightarrow 2/3 = (25.6)/x`
x `= 25.6 xx 3/2 = 38.4 m`