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A man rows a boat with a speed of 18Km h...

A man rows a boat with a speed of `18Km h^(-1)` in the north-west direction (figure). The shoreline makes an angle of `15^(@)` south of west. Obtain the components of the velocity of the boat along the shoreline and perpendicular to the shoreline.

Text Solution

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The north-west direction of the boat makes an angle of `60^(@)` with the shoreline .
component of the velocity of boat along the shoreline
`=18cos60^(@)Km h^(-1)= 9km h^(-1)`
components of the boat velocity along a line normal to the shoreline
`=18sin60^(@)Km h^(-1)=18xxsqrt(3)/2Km h^(-1)=9sqrt(3)Km h^(-1)`.
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