Question

9. A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find at the same time
(i) the length of the shadow cast by another pole 10 m 50 cm high (ii) the height of a
pole which casts a shadow 5m long.
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Answer 1

Answer:

9. A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find at the same time

(i) the length of the shadow cast by another pole 10 m 50 cm high (ii) the height of a

pole which casts a shadow 5m long.

Let x m be the length of the pole whose shadow is of length 10m50cm.

Let y m be the length of the pole whose shadow is 5m long.

Clearly, it is a case of direct variation.

i)

3.20

5.60

=

x

10.50

x=

5.60

10.50×3.20

=6

Hence, the length of the shadow is 6m.

ii)

3.20

5.60

=

5

y

x=

3.20

5.60×5

=8.75

Hence, the length of the pole is 8.75 meters.

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