An electric pole casts a shadow of length 28 m at a time when a near by tree 8 m high casts a shadow of length 14 m. Find the height of the pole.

Correct option is A

Given:

Height of the tree = 8 m

Length of the tree's shadow = 14 m

Length of the pole's shadow = 28 m

Formula Used:

The height and shadow length of objects are proportional , so:

​$$\frac{\text{Height of pole}}{\text{Length of pole's shadow}} = \frac{\text{Height of tree}}{\text{Length of tree's shadow}}$$​​

Solution:

Let the height of the pole be h

Using the formula:

​$$\frac{h}{28} = \frac{8}{14}$$​​

​$$\frac{h}{28} = \frac{4}{7}$$​​

​$${h} = \frac{4}{7} \times 28 = 16$$​ m