A vertical pole of length 19 m casts a shadow 57 m long on the ground and at the same time a tower c

Question

A vertical pole of length 19 m casts a shadow 57 m long on the ground and at the same time a tower casts a shadow 51 m long. The height of the tower is\

Professor PC Thomas Classes · Answer

(c): Let $A B$ be the pole and $P Q$ be the tower. Let height of tower be $h \mathrm{~m}$.\ Now, $	riangle A B C \sim 	riangle P Q R$\ $	herefore \quad \frac{A B}{P Q}=\frac{B C}{Q R}$\ $\Rightarrow \frac{19}{h}=\frac{57}{51}$\ $\Rightarrow h=\frac{19 	imes 51}{57}$