Question

If a tree 24 m high casts a shadow of 15 m, then the height of a pole that casts a shadow of 6 m under similar conditions is 9.6 m.

पर्याय

• True

• False

Answer 1

This statement is True.

Explanation:

∵ Height of a tree = 24 m

Then, its shadow = 15 m

With the similar condition, if a pole has a shadow of length = 6 m

Let the height of pole = x m

Since, length and shadow vary directly.

Then, `24/15 = x/6`

15 × x = 24 × 6  ...[By cross-multiplication]

⇒ `x = (24 xx 6)/15`

⇒ x = 9.6 m  ...[∵ Height and shadow ratio are same]