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.

Explanation

To solve the problem step by step, we will break it down into two parts as given in the question.

### Part (i): Finding the Length of the Shadow Cast by Another Pole

1. **Convert the heights and shadows into centimeters**:
- Height of the first pole:
\[
5 \text{ m } 60 \text{ cm} = (5 \times 100) + 60 = 560 \text{ cm}
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