Question

5. A man 160 cm tall is at a distance of 600 cm from the
foot of a source of light situated at the top of a pole 4.1 m high. Find the distance of top of man from the source of light.​

Answer 1

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Let the height of man be AB = 160 cm

Let the height of pole be DC = 4.1 m = 410 cm

Let the distance between the man and pole be DC = 600 cm

DC = DE + EC

∴ 410 cm = DE + 160 cm

∴ DE = 410 cm – 160 cm

         = 250 cm

In ΔAED, right angled at E, applying Pythagoras theorem, 

AD² = DE² + AE²

∴ AD² = (250)² + (600)²

⇒ AD² = 62500 + 360000

⇒ AD² = 422500

⇒ AD = 650 cm

Thus, the distance between the top of man and source of light is 650 cm.

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