Question

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the length of a shadow of 1.5 metre high post at a certain time of a day is 2.5 what is the height of another pole host Shadow at the time is 3.5 metre long???
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Answer 1

$\Large\frak{\underline{\underline{Question:}}}$

The length of a shadow of 1.5 metre high post at a certain time of a day is 2.5 what is the height of another pole host Shadow at the time is 3.5 metre long???

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$\Large\frak{\underline{\underline{Answer:}}}$

When shadow is 2.5 m, height of pole = 1.5m

➛When shadow is 1m, height of the pole = ${\sf\frac{1.5}{2.5}}m$(smaller is shadow, shorter is height)

➛When shadow is 3.5 m, height of the pole = ${\sf\frac{1.5×3.5}{2.5}}m$(larger is shadow, tallwr is height)

➤Hence, height of another pole = 2.1 m

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Alternative method:

Let the height of another pole be x m.

➛${\sf\frac{1.5}{2.5}}$= ${\sf\frac{x}{3.5}}$

➛2.5 × x = 3.5 × 1.5

➛x = ${\sf\frac{3.5×1.5}{2.5}}$ = 2.1

Answer 2

$\Large\frak{\underline{\underline{Question:}}}$

The length of a shadow of 1.5 metre high post at a certain time of a day is 2.5 what is the height of another pole host Shadow at the time is 3.5 metre long???

$\rule{200}3$

$\Large\frak{\underline{\underline{Answer:}}}$

When shadow is 2.5 m, height of pole = 1.5m

➛When shadow is 1m, height of the pole = ${\sf\frac{1.5}{2.5}}m$(smaller is shadow, shorter is height)

➛When shadow is 3.5 m, height of the pole = ${\sf\frac{1.5×3.5}{2.5}}m$(larger is shadow, tallwr is height)

➤Hence, height of another pole = 2.1 m

$\rule{200}3$

Alternative method:

Let the height of another pole be x m.

➛${\sf\frac{1.5}{2.5}}$= ${\sf\frac{x}{3.5}}$

➛2.5 × x = 3.5 × 1.5

➛x = ${\sf\frac{3.5×1.5}{2.5}}$ = 2.1