Question 09.2 .
A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find at the same time the height of a pole which casts a shadow 5 m long.
1 m=100 cm5 m 60 cm=5×100+60=560 cm3 m 20 cm=3×100+20=320 cm
And 5 m=5×100=500 cm
Let the height of the pole be x.
Height of pole (in cm)560xLength of shadow (in cm)320500
Here height of the pole and length of the shadow are in direct proportion.
∴ 560320=x500⇒ x×320=560×500⇒ x=560×500320=875 cm= 8 m 75 cm
Hence, the height of the pole is 8 m 75 cm.