# A light house facing north sends out a fan shaped beam of light extending from north east to north west. An observer on a steamer , sailing due west ,first sees the light when he is 5 km away from the lighthouse and continues to see it for $30\sqrt2$minutes.What is the speed of the steamer?

### Answered by Vimala Ramamurthy | 8th May, 2014, 11:24: AM

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