Question

A vertical toy 18 cm long casts a shadow 8 cm long on the ground. At the same time a pole casts a shadow 48 m. long on the ground. Then find the height of the pole ?

A) 1080 cm
B) 180 m
C) 108 m
D) 118 cm

Answer 1

Answer:

C 108m

Step-by-step explanation:

simple question of ratio and proportion

Answer 2

A vertical toy 18 cm long casts a shadow 8 cm long on the ground. Then the height of the pole is 108 cm

Solution:

As it is for the same position of sun , ratio of actual height and shadow will be same for all objects.

Let’s assume height of pole = x meters

So we can frame a equation as,

$\frac{height of vertical toy}{length of shadow of vertical toy} = \frac{height of pole}{ length of shadow of the pole}$

$\frac{18}{8} = \frac{x}{48}$

Hence $\frac{18 \times 48}{8} = 108$

Thus height of the pole is 108 meters and correct option is C.