A hiker walks 25.5 km from her base camp at 35Degrees south of east. On the second day, she walks 41.0 km in a direction 65Degrees north of east, at which point she discovers a forest rangers tower. Determine the magnitude and direction of her resultant displacement between the base camp and the rangers tower.

You walk 37 m to the north, then turn 61° to your right and walk another 45 m. How far are you from where you originally started?

A spelunker is surveying a cave. She follows a passage 160 m straight west, then 230 m in a direction 45degree east of south, and then 280 m at 30 degree east of north. After a fourth unmeasured displacement, she finds herself back where she started.

Clara de Iles is shopping. She walks 16m North to the end of an aisle. She then makes a right hand turn and walks 21m Eastward to the end of the aisle. Determine the magnitude of Claire's resultant displacement and the angle of her resultant.

A rural mail carrier leaves the post office and drives 25.0km in a northerly direction to the next town. She then drives in a direction 60 degrees south of east for 57 km to another town. What is her displacement from the post office?

Suppose a person walks so that their displacement is represented by a vector that has a magnitude of 52m (vector A). The direction of that initial displacement is 31 degrees north of east. After that, the person then walks 15 m due west (vector B).  Use trig to calculate the east and north components of the first displacement, vector A.

You walk 48.9 m to the north. You then turn 43.2 degrees to your right, so that you are facing 90-43.2 degrees north of east, and walk another 17.2 m. How far are you from where you originally started?

A jogger travels a route that has two parts. The first is a displacement A of 2.30 km due south, and the second involves a displacement B that points due east. The resultant displacement A + B has a magnitude of 4.75 km. (a) What is the magnitude of B, and (b) what is the direction of A + B as a positive angle relative to due south? Suppose that A - B had a magnitude of 4.75 km. (c) What then would be the magnitude of B, and (d) what is the direction of A - B relative to due south? (a) Number (b) Number (c) Number (d) Number Mi i Mi Units Units Units Units <

one day you go hiking at a nearby nature preserve. at first, you follow the straight, clearly marked trails. from your starting point, you travel 2.00 miles down the 1st trail. then you turn to your left by 30.0 degrees to follow a 2nd trail for 1.40 miles. next, you turn to your right by 160 degrees and follow a third trail for 1.90 miles. at this point you are getting very tired and would like to go back.   you would like to take a shortcut directly through the woods. how far to your right should you turn, and how far do you have to walk, to go directly back to the darting point.       what degree turn to the right must "I" take, and how many miles must I walk back?       I know the distance is 2.104 miles, but I cannot figure out the degree angle.

One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 2.91 km. They start at the west side of the lake and head due south to begin with. (a) What is the distance they travel? (b) What is the magnitude of the couple's displacement? (c) What is the direction (relative to due east) of the couple's displacement? (a) Number Units (b) Number i Units (c) Number i Units