Answer to Question #176620 in Physics for Fabiajer

Question

sailboat sails 2.0 km east, then 4.0 km southeast, then an additional distance in an unknown direction. Its final position is 6.0 km directly east of the starting point. Find the magnitude and direction of the third leg of the journey graphically. (Scale:

Answer 1

The direction is shown in figure (x).

According to the cosine law:

$$x = \sqrt{4^2 + 4^2 - 2\cdot4\cdot 4\cos 45\degree } \approx 3.06 km$$

Answer. 3.06 km.