Tick (✓) the correct answer


Tick (✓) the correct answer:

A pole 14 m high casts a shadow of 10 m. At the same time, what will be the height of a tree, the length of whose shadow is 7 metres?

(a) 20 m

(b) 9.8 m

(c) 5 m

(d) none of these


(b) 9.8 m

Let x m be the height of the tree.

Height of object 14 x">xx
Length of shadow 10 7

The more the length of the shadow, the more will be the height of the tree.

Now, $\frac{14}{10}=\frac{x}{7}$

$\Rightarrow x=\frac{14 \times 7}{10}$

$\Rightarrow x=9.8$

Therefore, a 9.8 m tall tree will cast a shadow of length 7 m.


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