**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.