Posted by **Jay** on Monday, November 28, 2011 at 11:53am.

To reach a campsite, a hiker first walks for 2 mi at a bearing N 40 degree E. Then He walks 3 mi due east. What are the magnitude and direction of his hike from his stating point to the campsite? Round the distance to the nearest tenth of a mile and the direction to the nearest degree.

- Geometry -
**Steve**, Monday, November 28, 2011 at 1:07pm
Draw a diagram; it helps keep the trig functions straight.

Starting from (0,0) a walk of 2 mi at N40°E leaves him at

x = 2sin40° = 1.29

y = 2cos40° = 1.53

Now, a walk 3 mi due east leaves him at

(4.29,1.53)

The new bearing is an angle θ with tanθ = 4.29/1.53 = 2.80

so, the new location is 4.55 mi N70°E

- Geometry -
**Jay**, Monday, November 28, 2011 at 1:09pm
thank you soo much :)

- Geometry -
**bella**, Sunday, March 31, 2013 at 3:24pm
can you show us the diagram and tell the reason why we have to use sin and cos

- Geometry -
**mike**, Sunday, March 31, 2013 at 3:53pm
can you tell us in the diagram which is x and which is y please

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