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## Homework Statement

A cyclist travelling east at 8 km/hr finds that the wind appears to blow directly from the north. On doubling his speed it appears to blow from the north-east.. Find the actual velocity of the wind.[/B]

## Homework Equations

Wind(relative) = Wind(Actual) - Velocity(cyclist)

## The Attempt at a Solution

I am completely stuck on this. I do know that there is a (16, 0) vector for the velocity of the cyclist, and a vector of -a(cos(45 deg), sin(45 deg)), which represents the relative, or perceived wind.

Slotting this into the relative wind equation,

Wind(r) = Wind(a) - Vel(cyclist)

-a*cos(45 deg) = Wx - 16

-a*sin(45 deg) = Wy

I'm not sure if this is even on the correct track.

Any trips highly appreciated.