Solve the problem.
-Starting at point A, a ship sails $50 \mathrm {~km}$ on a bearing of $243 ^ { \circ }$, then turns and sails $71 \mathrm {~km}$ on a bearing of $299 ^ { \circ }$. Find the distance of the ship from point A.
A) $178 \mathrm {~km}$
B) $121 \mathrm {~km}$
C) $107 \mathrm {~km}$
D) $57 \mathrm {~km}$

Question

Quizplus · Accepted Answer

Using the law of cosines, the distance from point A is calculated as $\sqrt{50^2 + 71^2 - 2 \times 50 \times 71 \times \cos(56^\circ)} \approx 107 \mathrm{~km}$.

Solve the Problem 50 km50 \mathrm {~km}50 km On a Bearing Of 243∘243 ^ { \circ }243∘

Solve the Problem $50 \mathrm {~km}$ On a Bearing Of $243 ^ { \circ }$