A man is standing on the 8 m long shadow of a 6 m long pole. If the length of his shadow is 2.4 m, what is the height of the man ?

The heights and shadows form similar right triangles because the sun’s rays are effectively parallel, so the ratio of height to shadow length is the same for both objects. Using proportionality (cross-multiplication) gives: (pole height)/(pole shadow) = (man height)/(man’s shadow). Substituting values: 6 m / 8 m = H / 2.4 m, so H = 6 × 2.4 / 8 = 14.4 / 8 = 1.8 m. Thus the man’s height is 1.8 m, corresponding to option 3.