Geometry

posted by .

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 -

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 -

thank you soo much :)

• Geometry -

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

• Geometry -

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

Similar Questions

1. 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.
2. 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?
3. 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?
4. maths

a hiker walk due east at 4km per hour and a second hiker starting from the same point walks 55 degree north-east at the rate of 6km per hour. H ow far apart will they be after 2 hours
5. maths

a hiker walk due east at 4km per hour and a second hiker starting from the same point walks 55 degree north-east 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 …
6. 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
7. 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?
8. 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?
9. 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
10. 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.

More Similar Questions

Post a New Question