Suppose you walk 15.5 m straight east and then 24 m straight south. How far are you from your starting point in meters and at what angle, in degrees South of East, is a line connecting your starting point to your final position

Suppose you first walk 9.5 m in a direction 20.0° west of north and then 17.5 m in a direction 40.0° south of west. Part A: How far are you from your starting point in meters?  Part B: What is the angle, in degrees, of the compass direction of a line connecting your starting point to your final position measured south of west?  Part C: Repeat part A, but for the magnitude of the displacement in meters for the second leg where you walk 17.5 m in a direction 40.0° north of east.  Part D: Repeat part A, but now you first walk 9.5m in a direction 40.0° south of west and then 17.5 m in a direction 20.0° east of south

A runner leaves home and runs 1500 m due south. From there they turn onto a new road, andcontinue 2500 m at 60° north of east. What is the runner's total displacement (magnitude anddirection) from home?

Renee has walked in a straight line, 25 degrees west of north, for 1200 meters. How far south and east should she walk to return to her original location?

You go on a hike with some friends. First, you travel 1.7 miles in a direction due west. Then, you spend some time checking Twitter and not paying attention to where you're walking. Once you look back up from your phone, you are at a ranger station that is 2.1 miles in a direction 27 degrees west of north from your starting point. How far, and in what direction, did you travel while checking Twitter?

Suppose you walk 25.5m in a direction exactly 36° west of north and then walk 15 m in a direction exactly 19° south of west.  How far are you from your starting point in m?

Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far (in meters) are you from your starting point?

You walk 200 feet west and 100 feet north to bury your treasure chest. But when you return to dig it up, you will be in a hurry and should walk straight to it. Determine the angle you should walk, relative to due west and the distance.

An airplane starting at city A flies 350 km at 30 degrees east of north, 125km at 30 degrees east of south, and finally 500 km at 30 degrees south of west to city B. A second airplane flies diectly from city A to B. How far and in what direction must the second plane fly?

To get to his office from home, Greg walks 7 blocks north and then 3 blocks east. After work he meets some friends at a cafe; to get there he walks 2 blocks south and 6 blocks west. All blocks are 660 feet long. What is the straight-line distance from the cafe to his home?