Gabby works as an aerial photographer. On one trip she takes off from the airport and flies 52km on a bearing N46°E. She then turns and flies for 43km until she is due east of the airport. How far is Gabby from the airport when she is due east of it? Is there more than one answer, explain.

An explorer is caught in a whiteout (in which the snowfall is so thick that the ground cannot be distinguished from the sky) while returning to base camp. He was supposed to travel due north for 5.1 km, but when the snow clears, he discovers that he actually traveled 8.4 km at 46° north of due east. (a) How far and (b) in what direction (south of due west) must he now travel to reach base camp? (a) Number i 34.99 (b) Number 1.48 Units Units km ° (degrees)

6. While following a treasure map, you start at an old pine tree. You first walk 825 m directly south, then turn and walk 1.25 km at 30.0° west of north, and finally walk 1.00 km at 40.0° north of east, where you find the treasure: a biography of Isaac Newton! (a) To return to the old pine tree, in what direction should you head and how far will you walk? Use components to solve this problem. (b) To see whether your calculation in part (a) is reasonable, check it with a graphical solution drawn roughly to scale.

The treasure map in the figure gives the following directions to the buried treasure: "Start at the old oak tree, walk due north for 550 paces, then due east for 150 paces. Dig." But when you arrive, you find an angry dragon just north of the tree. To avoid the dragon, you set off along the yellow brick road at an angle 60∘ east of north. After walking 400 paces you see an opening through the woods. a) Which direction should you go to reach the treasure?   b) How far should you go to reach the treasure?

Suppose you walk 18.0 m straight west and then 25.0 m straight north.   How far are you from your starting point?What is the compass direction of a line connecting your starting point to your final position?

An explorer is caught in a whiteout (in which the snowfall is so thick that the ground cannot be distinguished from the sky) while returning to base camp. He was supposed to travel due north for 5.3 km, but when the snow clears, he discovers that he actually traveled 8.4 km at 46° north of due east. (a) How far and (b) in what direction (south of due west) must he now travel to reach base camp? (a) Number i Units km (b) Number i Units ° (degrees)

On the map, let the +x-axis point east and the +y-axis north. An airplane flies at 880 km/h northwestward direction (i.e., midway between north and west). Can you help me visualize the components of the first velocity, and when the plane flies due south at the same velocity.  I understand the answer will be -622.25 for the run, meaning 880*cos(45) for x -axis; the y axis north is 880*sin(45) resulting in 622.5 Please help me visualize the first and second velocity when the plane flies due south at the same velocity?  Help me to visualize where one of the velocities due south is zero, and the other is whatever it is.   I am afraid I can properly visualize or understand in simple terms what is asked.  My point can you help to understand the right angle theorem to the angle.

A ship sets out to sail to a point 142 km due north. An unexpected storm blows the ship to a point 130 km due east of its starting point. (a) How far and (b) in what direction (as an angle from due east, where north of east is a positive angle) must it now sail to reach its original destination?

An airplane is travelling at 620 km/h on a heading of 305°. The wind of 80 km/h is flowing from a bearing of 260º. Determine the ground velocity of the boat. You can use trigonometry method or rectangular components method, but the final answer needs to be written in the same form as the original question.

The vector A has a magnitude of 4.0 meters and points in the -x direction. The vector B has a magnitude of 3.0 meters and points in the +y direction. Vector C is defined so that C - A + B = 0. What is the magnitude and direction of vector C? Give your answers to 2 significant figures.