A 5m60cm high vertical pole casts a shadow 3m20cm long. Find at the same time (i) the length of the shadow cast by another pole 10m50cm high (ii) the height of a pole which casts a shadow 5m long.
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Solution
(i) x!y1=x2y2 ⇒5.63.2=10.5y2 ⇒y2=6 cm (ii) x1y1=x3y3 ⇒5.63.2=x35 ⇒x3=8.75 m