Question

In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the day, and she is blown along the following straight lines: $2.50 \mathrm{km}$ and $45.0^{\circ}$ north of west, then 4.70 $\mathrm{km}$ and $60.0^{\circ}$ south of east, then $1.30 \mathrm{km}$ and $25.0^{\circ}$ south of west, then $5.10 \mathrm{km}$ due east, then $1.70 \mathrm{km}$ and $5.00^{\circ}$ east of north, then $7.20 \mathrm{km}$ and $55.0^{\circ}$ south of west, and finally $2.80 \mathrm{km}$ and $10.0^{\circ}$ north of east. Use the analytical method to find the resultant vector of all her displacement vectors. What is its magnitude and direction?

          In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the day, and she is blown along the following straight lines: $2.50 \mathrm{km}$ and $45.0^{\circ}$ north of west, then 4.70 $\mathrm{km}$ and $60.0^{\circ}$ south of east, then $1.30 \mathrm{km}$ and $25.0^{\circ}$ south of west, then $5.10 \mathrm{km}$ due east, then $1.70 \mathrm{km}$ and $5.00^{\circ}$ east of north, then $7.20 \mathrm{km}$ and $55.0^{\circ}$ south of west, and finally $2.80 \mathrm{km}$ and $10.0^{\circ}$ north of east. Use the analytical method to find the resultant vector of all her displacement vectors. What is its magnitude and direction?

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