Question

The ratio of the length of a vertical pole and its shadow on the ground is 7 : 2. Find the
length of the pole if the length of the shadow is 2.4 m.​

Answer 1

Answer:

$8.4m$

Step-by-step explanation:

FIRST METHOD:

$let \: length \: of \: vertical \: pole \: be \: 7x \: and \: of \: its \: shadow \: be \: 2x$

$length \: of \: shadow \: of \: pole \: = 2.4m \: (given)$

$2x = 2.4m$

$therefore \: x = \frac{2.4}{2} = 1.2m$

$length \: of \: pole \: = 7x = 7 \times x = 7 \times 1.2 = 8.4m$

SECOND METHOD:

$ratio \: of \: length \: of \: pole \: to \: its \: shadow \: = \: 7: 2$

$length \: of \: shadow = 2.4m$

$let \: length \: of \: pole \: = x$

$so$

$\frac{7}{2} = \frac{x}{2.4}$

$x = \frac{7 \times 2.4}{2} = 8.4m \: \: \: (by \: cross \: multiplying)$