Posted by Jay on .
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,
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,
thank you soo much :)

Geometry 
bella,
can you show us the diagram and tell the reason why we have to use sin and cos

Geometry 
mike,
can you tell us in the diagram which is x and which is y please