# Physics

posted by .

A scout troop is practicing its orientation skills with a map and compass. First they walk east for 1.2km. Next, they walk 45degrees west of north for 2.7km. In what direction must they walk to go directly back to their starting point? How far will they have to walk?

• Physics -

The vector to the final location from the starting point has components of 1.2 - 2.7 sin 45 = -0.709 km in the east direction and 2.7 sin 45 = 1.909 in the north direction. The direction they must walk back is the reverse of that vector. You can use the ratio of the two components to get the tangent of the angle.

The distance is the hypotenuse, sqrt[(0.709)^2 + (1.909)^2] = 2.04 km

• Physics -

thank you SO much!

## Similar Questions

1. ### physics

Oasis B is a distance d = 9 km east of oasis A, along the x axis shown in the Figure. A confused camel, intending to walk directly from A to B instead walks a distance W1 = 20 km west of due south by angle θ1 = 15.0°. It then …
2. ### physics

you first walk 8.0km north from home then walk east until your displacement from home is 10.0 km. How far east did you walk?
3. ### Physics

I really need help... You are on a treasure hunt and your map says "Walk due west for 52 paces, then walk 29.0° north of west for 39 paces, and finally walk due north for 25 paces." What is the magnitude of the component of your displacement …
4. ### Physics: Waves in Media

A scout troop is practicing its orienteering skills with map and compass. First they walk due east for 1.5 km. Next, they walk 32° west of north for 3.5 km. How far and in what direction must they walk to go directly back to their …
5. ### Physics

A scout troop is practicing its orienteering skills with map and compass. First they walk due east for 1.5 km. Next, they walk 32° west of north for 3.5 km. How far and in what direction must they walk to go directly back to their …
6. ### physics

It takes you 7.6 min to walk with an average velocity of 2.5 m/s to the north from the bus stop to the museum entrance. How far did you walk?
7. ### Physics

You are on a treasure hunt and your map says "Walk due west for 52 paces, then walk 29.6° north of west for 40 paces, and finally walk due north for 25 paces." What is the magnitude of the component of your displacement in the following …
8. ### physical

Oasis B is a distance d = 8.0 km east of oasis A, along the x axis shown in the figure. A confused camel, intending to walk directly from A to B instead walks a distance W1 = 21 km west of due south by angle θ1 = 15.0°. It then …
9. ### Physics

Oasis B is a distance d = 7.0 km east of oasis A, along the x axis shown in the figure. A confused camel, intending to walk directly from A to B instead walks a distance W1 = 22 km west of due south by angle θ1 = 15.0°. It then …
10. ### physics

you walk west for 52 m, then you walk 33.2° north of west for 44 m, and finally you walk due north for 25 m. Find the components of your final displacement, from your initial to final point, along the north and west directions.

More Similar Questions