Question

A boy $1.4$ m tall casts a shadow $1.2$ m long at the time when a building casts a shadow $5.4$ m long. Find the height of the building?

Answer 1

Height of the boy is $1.4$ m and casts a shadow of $1.2$ m

At the same time, a building casts a shadow of $5.4$ m and suppose height of the building is $x$ m

Then ratio of their heights and shadows are in proportion

$⟹\frac{x}{1.4}=\frac{5.4}{1.2}$

$⟹x=\frac{1.4\times 5.4}{1.2}$

$⟹x=6.3$

Hence, height of the building is $6.3$ m.