A man 160 cm tall walks away from a source of light situated at the top of a pole 6 m high, at the rate of 1.1m/sec. How fast is the length of his shadow increasing when he is 1m away from the pole?

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Given: man 160cm tall walks away from a source of light situated at the top of a pole 6 m high, at the rate of 1.1m/sec ; To find the rate at which the length of his shadow increases when he is 1m away from the pole

Let AB be the lamp post and let MN be the man of height 160cm or 1.6m. ; Let AL = l meter and MS be the shadow of the man ; Let length of the shadow MS = s (as shown in the below figure)