The height of a tower is 20 m . The length of its shadow made on the level ground when the Sun's alt

Question

The height of a tower is 20 m . The length of its shadow made on the level ground when the Sun's altitude is $60^{\circ}$, is :\

Professor PC Thomas Classes · Answer

(a): Let height of tower be $A B$.\ $	herefore A B=20 \mathrm{~m}$ (Given)\ Let $B C$ be the length of its shadow made on the level ground. In $	riangle A B C$, $$ \frac{A B}{B C}=	an 60^{\circ} \Rightarrow B C=\frac{20}{	an 60^{\circ}}=\frac{20}{\sqrt{3}} \mathrm{~m} $$ $	herefore \quad$ Required length of the shadow $=\frac{20}{\sqrt{3}} \mathrm{~m}$\