Question

A person of 1.8 metres tall should near a pole of 30 m height he Casts 2.7 m Shadow find the length of the shadow of the pole at the same time​

Answer 1

height of man = 1.8 m

shadow of man = 2.7m

hence if we draw an image of the question,we will get

tan x = 2.7/1.8 .....eq1

and also tan x for height and shadow of pole will be same....

hence, let 'y' be shadow of pole,

tan x = y/30 .....eq2

from eq1 and eq2 we get,

2.7/1.8 = y/30

by cross multiplication,

2.7 * 30/1.8 = y

y= 27×30/18

y= 45

hence shadow of pole will be 45 m in length....