Draw the most appropriate set of coordinate axes for this problem.

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.

A boat travels on a course of 40.0° north of east for a distance of 300 km. How far north and how far east of its starting point does the boat sail?

A team is exploring a tresure. They start at the entrance of a national park and makes the following straight line movements: 68 m, north, 50 m, 25° north of west (155° CCW) 34 m, west 42 m, 17° south of east (343° CCW) Determine their position relative to the entrance of the national park.   Can this be explained with a lot of detail in irder to understand.

Start by copying the navigational bearing axes onto your paper: W N E (a) Next, draw vector V representing a ship traveling 383 miles on a bearing of N 55° W. (b) Find exactly how far north the ship traveled. (c) Find exactly how far west the ship traveled. (d) Next, use a scientific calculator to write approximations for (b) and (c). (e) Then write your approximations with correct number of significant digits.

Given the vector techniques you worked on in the lab, answer the follow question: suppose you first walk 12 m in a direction 20° west of north, then 20 m in a direction 40° south of west, then 14 m in a direction 30° east of north, and finally 19 m in a direction 40° east of south.  How far are you (as the crow flies) from your starting point, and what is the compass direction (west of south) of a line connecting your starting point to your final position?

A hiking girl needs to go 39.2 km straight North to get to base camp, instead the compass confuses her and she travels 17.248 km at a 3.9° deflection East from straight North.  Then she realizes what she has done and so guesses an angle of 17.8° deflection West of straight North and then hikes 30.576 km.  What is the magnitude of her displacement from where she is now located to base camp. (put your answer is standard units)

It takes a golfer three strokes to get a golf ball into a hole. On the first hit, the ball moves 6.0 m to the east. On the second hit, it moves 2.9 m at an angle of 20 ° north of east. On the third hit, it moves 0.50 m to the north. If the golfer had struck the ball directly into the hole in one stroke, what would have been the magnitude (in m) and the direction of the ball's displacement? Indicate direction as a positive angle measured counterclockwise from east.

A plane is flying at a speed of 320 miles per hour on a bearing of N65°E. Its ground speed is 390 miles per hour and its true course, given by the direction angle of the ground speed vector, is 30°. Find the speed, in miles per hour, and the direction angle, in degrees, of the wind. The speed of the wind is miles per hour. (Do not round until the final answer. Then round to the nearest tenth as needed.)

Calculate the x-component and the y-component (in m) of the vector with magnitude 16.0 m and direction 27.0°. X= Y=