As shown in the figures, two poles of height 8m and 4m are perpendicular to the groudn. If the length of shadow smaller pole due to sunlight is 6 m then long will be the shadow of the bigger pole of the same time?

Explanation

PR and AC are two poles. QR and BC are their shadows respectively.
`:'` the shadows are cast at the same time
`:. DeltaPQR~DeltaABC`
`:.(PR)/(AC)=(QR)/(BC)`……….. [Correspondig sides of similar triangles are in proportion]
`:.4/8=6/x`
`:.4xx x=8xx6`
`:.x=(8xx6)/4`
`:.x=12:.BC=12m`
The length of the shadow of the bigger pole is 12 m.