Question

There is an electric bulb at 7.5 m high on a pole. A man of height 1.5 m is standing at a distance 9 m from the pole. Find the length of his shadow

Answer 1

Step-by-step explanation:

Here is the correct ans with full solution.

Please mark as braibleast

Answer 2

The answer would be 2.25 m.

Step-by-step explanation:

(See the attached figure)

Let AB be the height of the pole

Let ED be the height of the man $= 1.5 m$

Thus, $AC = AB - ED = 7.5 - 1.5 = 6 m$

Now, the distance between the man and pole$= 9m = DB$

So, the angle of elevation is not known, and also the length of the shadow, x is unknown.

In triangle AEC

$tan x= \frac{AC}{EC}$

$tan x = \frac{6}{9}$

$tan x = \frac{2}{3}$

The angle of elevation will be the same as $\angle$EFD since lines DB and EC are parallel.

$tan \angle EFD$ $= \frac{ED}{FD}$

$\frac{2}{3} =\frac{ED}{FD}$

So, the length of the shadow, FD