A jet takes off bearing N 32° W and flies 6 miles, and then makes a right turn (90°) and flies 20 miles farther. If the control tower operator wanted to locate the plane, what bearing would he use? Round to the nearest degree.
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- 1. One morning, Connie walks from her house to go to a store that is 500 ft, S 40° W from her house. She starts walking 120 ft, SW; then continues walking 100 ft, 10° S of E; then sees a friend who is 700 ft, 30° N of E from where she is. a) From her friend's location, how far and in what direction should Connie walk to finally get to the store? (Ans. 1133.08 ft, 33.83°S of W)A ship leaves a dock at 13 mph. After an hour, it is seen from a lighthouse 12 miles east of the dock to bear N 12°30' W. How far was it from the lighthouse? What is its bearing from the dock?A DC-9 aircraft leaves an airport from a runway whose bearing is N23°E. After flying for mile, the pilot requests permission to turn 90° and head toward the 4. southeast. The permission is granted. After the airplane goes 1 mile in this direction, what bearing should the control tower use to locate the aircraft? What is the bearing that the control tower should use to locate the aircraft? (Round to the nearest tenth as needed.)
- A plane leaves the airport in Galisteo and flies 170 km at 68.0° east of north; then it changes direction to fly 230 km at 36.0° south of east, after which it makes an immediate emergency landing in a pasture. When the airport sends out a rescue crew, in which direction and how far should this crew fly to go directly to this plane? (With precise solution please) A. 351km with a direction of south B. 351km with a direction of 11.8 degrees south of west C. 351km with a direction of 11.8 degrees south of east D. 351km with a direction of eastAfter enjoying his stay in London, Vaan wanted to head to the airport, which is 5.73 km 14° S of W from his accommodation. Before heading to the airport, he went to the souvenir shop, which is 2.15 km 32° N of W from his accommodation. He then took a meal in a café 0.8 km west of the souvenir shop. How far and in what direction should Vaan travel from the café to the airport?A cruise ship maintains a speed of 16 knots (nautical miles per hour) sailing from San Juan to Barbados, a distance of 600 nautical miles. To avoid a tropical storm, the captain heads out of San Juan at a direction of 24° off a direct heading to Barbados. The captain maintains the 16-knot speed for 8 hours, after which time the path to Barbados becomes clear of storms. (a) Through what angle should the captain turn to head directly to Barbados?
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- 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 5.6 km, but when the snow clears, he discovers that he actually traveled 7.8 km at 50° north of due east. (a) How far and (b) in what direction must he now travel to reach base camp?A plane departs from a small airport in the direction ?30°? and travels for 50 miles.The plane then turns east and travels for 80 miles. How far is the plane from the airport?A ship travels on a N 50° E course. The ship travels until it is due north of a port which is 10 nautical miles due east of the port from which the ship originated. How far did the ship travel?