Question

There are two poles having heights 8 m and 4 m on plane ground as shown in fig. Because of sunlight shadows of smaller pole is 6m long, then find the length of shadow of longer pole.

Answer 1

Here, AC and PR represent the bigger and smaller poles, and BC and QR represent their shadows respectively.

Now,

ΔACB ∼ ΔPRQ    .....[Vertical poles and their shadows form similar figures]

∴ `"CB"/"RQ" = "AC"/"PR"`   ......[Corresponding sides of similar triangles]

∴ `x/6 = 8/4`

∴ x = `(8 xx 6)/4`

∴ x = 12 m

∴ The shadow of the bigger pole will be 12 metres long at that time.