Question.
A vertical stick of length $6 \mathrm{~m}$ casts a shadow $4 \mathrm{~m}$ long on the ground and at the same time a tower casts a shadow $28 \mathrm{~m}$ long. Find the height of the tower.
A vertical stick of length $6 \mathrm{~m}$ casts a shadow $4 \mathrm{~m}$ long on the ground and at the same time a tower casts a shadow $28 \mathrm{~m}$ long. Find the height of the tower.
Solution:
$\triangle \mathrm{ABC} \sim \triangle \mathrm{PQR}$
$\therefore \quad \frac{\mathrm{AB}}{\mathrm{PQ}}=\frac{\mathrm{BC}}{\mathrm{QR}}$
$\frac{6}{x}=\frac{4}{28}$
$\Rightarrow x=42 \mathrm{~m}$
$\triangle \mathrm{ABC} \sim \triangle \mathrm{PQR}$
$\therefore \quad \frac{\mathrm{AB}}{\mathrm{PQ}}=\frac{\mathrm{BC}}{\mathrm{QR}}$
$\frac{6}{x}=\frac{4}{28}$
$\Rightarrow x=42 \mathrm{~m}$