(11) Two pillars of height 8 m and 4 in are crected perpendicular to the plane ground. If the length of shadow of smaller pillar is 6 m, then complete the following activity to find the length of shadow of the bigger pillar.
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refer the attached file
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PR and AC are two poles who have their shadows as QR and BC respectively. The shadows are formed at the same time.
∴ Δ P Q R ~ Δ A B C
∴ PR by AC = QR by BC
∴ PR by AC = QR by BC [Corresponding sides of similar triangles are proportional]
∴ 4 by 8 = 6 by x
∴ 4 × x = 8 × 6 ∴ x = 8 × 6 by 4
∴ x = 12 : B C = 12 m
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