. A 5m 60cm high vertical pole casts a shadow which is 3m 20cm long. Find at the same time (i) Length of the shadow cast by a different pole which is 10m 50cm high. (ii) Height of a pole which casts a shadow 5m long.
Question
. A 5m 60cm high vertical pole casts a shadow which is 3m 20cm long. Find at the same time (i) Length of the shadow cast by a different pole which is 10m 50cm high. (ii) Height of a pole which casts a shadow 5m long.
Solution
(i) To find the length of the shadow cast by a different pole which is 10m 50cm high, we first need to establish the ratio between the height of the first pole and the length of its shadow.
The height of the first pole is 5m 60cm = 560cm. The length of the shadow of the first pole is 3m 20cm = 320cm.
So, the ratio is 560cm/320cm = 1.75.
Now, we can use this ratio to find the length of the shadow of the second pole.
The height of the second pole is 10m 50cm = 1050cm.
So, the length of the shadow of the second pole is 1050cm / 1.75 = 600cm = 6m.
(ii) To find the height of a pole which casts a shadow 5m long, we can use the same ratio.
The length of the shadow of this pole is 5m = 500cm.
So, the height of the pole is 500cm * 1.75 = 875cm = 8m 75cm.
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