7. There are two lifeguard stations along the shoreline. Station B is 50 meters east of station A. A troubled swimmer is spotted by lifeguards at both stations. If the troubled swimmer is spotted at a 35° angle from the guard at station A and a 41° angle from station B (swimmer between A and B), which lifeguard is the shortest distance from the swimmer? By how many meters?
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- Vector C has a magnitude of 23.4 m and points in the -y-direction. Vectors A and B both have positive y y-components, and make angles of a = 41.9° and ß = 27.2° with the positive and negative x-axis, respectively. If the %3D vector sum A +B + C = 0, what are the magnitudes of A an A В? В B |A| = m |B| : Figure is not to scale.A flagpole sits at the center of a playground. Initially, a child is located 8.50 m due north of the flagpole. Two minutes later, the child is 6.00 m away from the flagpole in the direction 37.0° south of east. The displacement of the child lies between which two cardinal directions? O South and west O North and east O North and west O South and eastIma Stomaksic is walking from lunch to her PE class. She exits the lunchroom and walks 43m west. She then turns and walks 72m north down the hallway leading to the locker room. Determine the magnitude and direction of Ima's resultant displacement, and the angle of the displacement.
- A map suggests that Atlanta is 730 miles in a direction of 5.00° north of east from Dallas. The same map shows that Chicago is 560 miles in a direction of 21.0° west of north from Atlanta. Figure P 3.22 shows the locations of these three cities. Modeling the Earth as flat, use this information to find the displacement from Dallas to Chicago.Starting in Albany, you travel a distance 101 miles in a direction 37.1 degrees north of west. Then, from this new position, you travel another distance 355 miles in a direction 10.2 degrees north of east. In your final position, what is your displacement from Albany? If the correct answer doesn't appear among the choices, choose the answer that has the correct distance and angle, even if the direction reference (north of east or north of west) is incorrect. a. 456 miles 47.3 degrees North of Westb. 246 miles 46.1 degrees North of Westc. 456 miles 47.3 degrees North of Eastd. 296 miles 24.7 degrees North of WestYou are the navigator of a ship at sea. You receive radio signals from two transmitters A and B, which are 97.0 km apart, one due south of the other. The direction finder shows you that transmitter A is at a heading of 28° south of east from the ship, while transmitter B is due east. Calculate the distance between your ship and transmitter B. 182.43 x m Draw a sketch of the situation, showing the locations of the boat and the two transmitters. Use what you know about the angles and distances to apply trigonometric relationships. eBook
- Displacement d1 is in the yz plane 59.9° from the positive direction of the y axis, has a positive z component, and has a magnitude of 3.39 m. Displacement d2 is in the xz plane 20.8° from the positive direction of the x axis, has a positive z component, and has magnitude 1.02 m. What is the angle between d1 and d2?If Vector A is 50cm, Vector B is 30cm and Vector C is 20cm, then how would a graphical representation for total vector T look like?Foraging bees often move in straight lines away from and toward their hives. Suppose a bee starts at its hive and flies 500 mm due east, then flies 450 mm west, then 660 mm east.
- You are the navigator of a ship at sea. You receive radio signals from two transmitters A and B, which are 101.0 km apart, one due south of the other. The direction finder shows you that transmitter A is at a heading of 29° south of east from the ship, while transmitter B is due east. Calculate the distance between your ship and transmitter B. 113.84 x m Draw a sketch of the situation, showing the locations of the boat and the two transmitters. Use what you know about the angles and distances to apply trigonometric relationships. еВook3) Mariana decides to go camping at Crystal Lake. From her camping site, she walks 40.0 km in a direction 60.0 degrees north east toward's a forest ranger's tower. If she needed to provide her mother Michelle, still at the camping site, directions on how to get to the forest ranger's tower: (a) what would be the east and north directions she needs to provide her mom (she has no compass)?One day, Sofia goes hiking at a nearby nature preserve. At first, she follows the straight, clearly marked trails. From the trailhead, she travels 2.00 miles down the first trail. Then, she turns 30.0° to the left to follow a second trail for 1.60 miles. Next, she turns 160.0° to her right to follow a third trail for 1.70 miles. At this point, Sofia is getting very tired and would like to get back as quickly as possible, but all of the available trails seem to lead her deeper into the woods. She would like to take a shortcut directly through the woods (ignoring the trails). What distance dsc does she have to walk to take a shortcut directly back to her starting point? Through what angle Osc should she turn to the right in order to take the shortcut directly back to her starting point? dsc= 0sc = miles