1. A farmer carries water from a well $W$ to a cattle trough $T$, then on to a chicken coop $C$. The farmer's displacement can be written in vector form $xi+yj$, where $i$ and $j$ are unit vectors. The displacement from $W$ to $T$ is $(6i+15j)\text{ m}$ and the displacement from $T$ to $C$ is $(16i-4j)\text{ m}$.

The magnitude of a displacement $di+ej$ is given by

$|di+ej|=\sqrt{{d}^{2}+{e}^{2}}$

and tells us the distance travelled.

By finding the magnitudes of the following displacements

(i) from $W$ to $T$

(ii) from $T$ to $C$,

calculate the total distance walked by the farmer, correct to three significant figures.