Question

A vertical pole of 5.6 m height casts a shadow 3.2 m long. At the same time find (i) the length of the shadow cast by another pole 10.5 m high (ii) the height of a pole which casts a shadow 5m long.

Answer 1

Answer:

Step-by-step explanation:

Height of the pole = 5.6m (Given)

Length of the shadow = 3.2m (Given)

i. Let the length of the shadow be = x

Pole1/Pole2 = shadow1/shadow2

= 5.6/10.5 = 3.2/x5.6x = 10.5(3.2)

= 5.6x = 33.6

= x = 6 m

Thus, the shadow is 6 m long

ii. Let the height of the pole be =  x

Pole1/Pole2 = shadow1/shadow2

= 5.6/x = 3.2/5

= 3.2x = 5.6(5)

= x = 8.75 m

Thus, the length of the pole is 8.75 m