Geometry
posted by Jay .
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
Respond to this Question
Similar Questions

Physics
Determine the magnitude and direction of the displacement if a man walks 32.5 km 45° north of east, and then walks due east 19.5 km. 
physics
a woman walks 2 km due east and then walks 4 km in the direction 30 degrees north of east. what is her magnitude of displacement from her starting point? 
Physics: Vectors
A hiker walks 10.0 km[NE], 5.0 km[W], and then 2.0 km[S] in 2.5 h. (a) What is the hiker's displacement? 
maths
a hiker walk due east at 4km per hour and a second hiker starting from the same point walks 55 degree northeast at the rate of 6km per hour. H ow far apart will they be after 2 hours 
maths
a hiker walk due east at 4km per hour and a second hiker starting from the same point walks 55 degree northeast at the rate of 6km per hour. H ow far apart will they be after 2 hours. this is my ques but .i am having problem that … 
physics
a student leaves home and walks 100 m in a northerly direction. he then walks in a direction of 45 degree north of east for 50 m to reach school. calculate the displacement graphically. choose a scale to draw the diagram 
Maths
Two nomads leave camp at the same time.one walks at 5km/h on a bearing 039 degree.the other walks at 7.5km/h on a bearing 265 degree.after 2 hours how far apart are they and what is the bearing of the second from the first? 
Maths
Two normads leaves camp at the same time,one walks 5km/h on a bearing of 39 degree and the other walks 7.5km/h on a bearing of 265 degree after 2 hours.how far are apart and what is the bearing of the second from the first? 
Math
A man start from point A and walks 5km east to B. He then walks 7km on a bearing of 162 degree to reach point C. Find the bearing and distance of C from A 
Physics
A man walks the distance of 8km in a direction of 20degrees east the walks another 6km in a direction 50degrees south east. Using vector diagrams find the magnitude and direction of the final displacement relative to the starting point.