A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find at the same time the length of the shadow cast by another pole 10 m 50 cm high
Let the length of the shadow of the other pole be x m.
1 m = 100 cm
The given information in the form of a table is as follows.
|Height of pole (in m)||5.60||10.50|
|Length of shadow (in m)||3.20||x|
More the height of an object, more will be the length of its shadow.
Thus, the height of an object and length of its shadow are directly proportional to each other. Therefore, we obtain
`5.60/3.20 = 10.50/x`
=> `x = (10.50xx3.20)/5.60 = 6`
Hence, the length of the shadow will be 6 m.
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