Question

It is observed that a 20 m high tower casts a shadow of length 15 m. The length of the shadow of a tree will be long if the tree is 15 m high.

• A. 12 m
• B. 11.5 m
• C. 11.25 m
• D. 11.75 m

Answer 1

The correct option is C 11.25 m

Given,
20 m long tower casts a shadow of length 15 m.
And, the length of the tree is 15 m.

We know that,
$\text{Height of the object}\propto$
$\text{Length of their shadow}$

Let, the length of the shadow cast by the tree be $x$ m.
$\therefore \frac{20}{15}=\frac{15}{x}$

$\Rightarrow x=\frac{15\times 15}{20}=11.25m$