To get out of the harbor, a container ship sails at a bearing of 240° for 6 km before changing direction due north. If the container ship travels 15 km north from where it changed direction, what is the bearing of the ship relative to the starting point in the harbor?

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?

An engineer designs a roller coaster so that a car travels horizontally for 192 ft,then climbs 137 ft at an angle of 33.0° above the horizontal. It then moves 137 ft at an angle of 48.0° below the horizontal. If we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (Give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.)

Asha is walking along a straight path from the National Geographic Museum towards the International Spy Museum.  The International Spy Museum is 1.22 km east and 0.91 km south of the National Geographic Museum. Part way along her path, Asha turns perpendicular to the path she was originally following to a second path towards the White House.  The White House is 0.91 km directly south of the National Geographic Museum. Using (0,0) for the location of the National Geographic Museum, determine the slope of the line representing Asha’s second path and write a linear equation for this path.  Show how you arrived at your answer.

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?

An engineer designs a roller coaster so that a car travels horizontally for 152 ft, then climbs 127 ft at an angle of 31.0° above the horizontal. It then moves 127 ft at an angle of 42.0° below the horizontal. If we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (Give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.) magnitude direction 167.6 The magnitude of the displacement is the length of the vector which goes from the starting point to the ending point. You will need to measure this distance, and multiply by your scale factor. ft 367 Measure the angle from the +x-axis to the resultant vector (drawn from the starting point to the ending point). Remember that angles measured counterclockwise from the +x-axis are negative. counterclockwise from the +x- axis Need Help? Read It

Joe lives on Horizontal Road (which runs east-west),which intersects Vertical Expressway (which runs north-south).Aldi and Lidl are both located on Vertical Expressway, with Aldi being 3.4 miles south of Lidl. Joe’s house is 5.9 miles from Lidl on a bearing of 201.8 degrees . What is the bearing of Joe’s house from Aldi ?

Two airplanes are flying in the air at the same height. Airplane A is flying east at 451 mi/h and airplane B is flying north at 494 mi/h. If they are both heading to the same airport, located 3 miles east of airplane A and 3 miles north of airplane B, at what rate is the distance between the airplanes changing?

An engineer designs a roller coaster so that a car travels horizontally for 172 ft, then climbs 147 ft at an angle of 32.0° above the horizontal. It then moves 147 ft at an angle of 48.0° below the horizontal. If we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (Give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.) magnitude 396.267 ft direction 355.463 ° counterclockwise from the +x-axis

The distance from Atlanta to Macon is about 80 mi at 58.5° south of east. What distances due east and due  south must you drive in order to travel from Atlanta to Macon?