While hiking in the woods, Shelly walks 2
kilometers N30°W from her camp, and then walks 2
kilometers directly east. How far and at what quadrant
bearing is Shelly from her camp?


Answer :

Shelly was 1km from her camp. Since her initial direction is in the North-West direction, hence the quadrant  bearing will be at the 3rd quadrant

If Shelly walks 2  kilometers N30°W from her camp and then walks 2  kilometers directly east, then the distance of Shelly from the starting point can be gotten using the trigonometry identity as shown:

Let x be the required distance, hence;

[tex]x = 2 sin \theta\\x = 2sin 30^0\\x = 2(0.5)\\x=1km[/tex]

Hence Shelly was 1km from her camp. Since her initial direction is in the North-West direction, hence the quadrant  bearing will be at the 3rd quadrant

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