Question

a 10 metre 50 cm a vertical pole cast a shadow 6 m long. find at the same time the length of shadow cast by another pole 5m 6 cm high

Answer 1

$height \: of \: pole \: and \: length \: of \: shadow \: are \: proportional \\ so \: \frac{10.5 \: m}{6 \: m} = \frac{5.06 \: m}{x \: m} \\ \frac{105}{60} = \frac{506}{100x} \\ x = \frac{506 \times 60}{100 \times 105} = 2.89 \\ therefore \: shadow \: is \: 2m \: 89cm \: long.$