Question:
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
Solution:
(b) 9.8 m
Let x m be the height of the tree.
| Height of object | 14 | |
| 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.