You are working as an assistant to an air-traffic controller at the local airport, from which small airplanes take off and land. Your job is to make sure that airplanes are not closer to each other than a minimum safe separation distance of 2.00 km. You observe two small aircraft on your radar screen, out over the ocean surface. The first is at altitude 800 m above the surface, horizontal distance 19.2 km, and 25.0° south of west. The second aircraft is at altitude 1 100 m, horizontal distance 17.6 km, and 20.0° south of west. Your supervisor is concerned that the two aircraft aretoo close together and asks for a separation distance for the two airplanes. (Place the x axis west, the y axis south, and the z axis vertical.)

Q: Vector I is 20.00 km southeast, Z is 14.00 km west, A is 12.50 km 35° W of S, and L is 15.00 km 58°…

A: a) So, the x component of R is  Rx=Ix+Zx+Ax+LxRx=20cos45+-14+-12.5 sin…

Q: You are on holiday in Cape Town, South Africa! While looking across the beautiful waters, you notice…

A: Consider the figure below.

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Q: A diver explores a shallow reef off the coast of Belize. She initially swims d1 = 82.7 m north,…

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Q: Transcribed image text: 1. A small plane takes off from the island of Pango and flies for 90.0…

A: Given,1. Flight from Pango to Tango:- Time: 90.0 minutes = 1.5 hours- Speed: 250 MPH- Direction: 15…

Q: A plane is flying with an airspeed of 165 miles per hour and heading of 145°. The wind currents are…

A: The Velocity of plane Vp=165 miles per hourThe velocity of wind Vw=20 miles per hour

Q: A person is standing at the edge of the water and looking out at the ocean (see figure). The height…

A: Given, Height of person,h=1.5 m Radius of Earth,R=6.38×106m

Q: From point A a pilot flies 125 km in the direction N38°20'W and turns back. Through an error, the…

A: Given, A pilot flies from point A to point B and tried to return back at point A.

Q: Two geological field teams are working in a remote area. A global positioning system (GPS) tracker…

A: Solution: The location of the first team and the second team is given below. r1=36km 23°NWr2=34km…

Q: An explorer is caught in a whiteout (in which the snowfall is so thick that the ground cannot be…

A:

Q: Astronomers need to identify the position of objects in the sky with very high precision. For that,…

A: Solution: Let's consider the earth to be a spherical object. An imaginary line in the middle of the…

Q: 2. Do the same with number 1 but use H + i + j.

A: Given, There are some vector with magnitude and direction.

Q: Two geological field teams are working in a remote area. A global positioning system (GPS) tracker…

A:

Q: about the heights of the buildings, and your friend claims thất the height of his building is more…

A:

Q: Given p with magnitude of 40 and a direction of 25°, q with magnitude of 75 and a direction of 270°,…

A: let p = 40 and angle = 250 q = 75 and angle = 2700 p = 30 and angle = 2200

Q: A radar station locates a sinking ship at range 16.6 km and bearing 136° clockwise from north. From…

A:

Q: Part (A). You are designing the radar system to track the UFOs appearing in the city. In your setup,…

A: (A) In triangle UBR2 tan15°=hx+20⇒h=(x+20)tan15° In triangle UBR1 tan35°=hx⇒h=xtan35° So…

Q: A person is standing at the edge of the water and looking out at the ocean (see figure). The height…

A:

Q: In the control tower at a regional airport, an air traffic controller monitors two aircraft as their…

A:

Q: Two geological field teams are working in a remote area. A global positioning system (GPS) tracker…

A:

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Q: A whale dives from the surface of the ocean at an angle of 30° below the horizontal and followed a…

A: Given data The angle is given as θ=30°. The distance travelled in the linear path is given as d =…

Q: What is the x-component of the child's initial position?

A: Component of vector Ax = Acosθ

Q: Vector A is 3 units in length and points along the positive x-axis; vector B is 4 units in length…

A:

Q: A ship is sailing due north. At a certain point, the bearing of a lighthouse 8.5km away is…

A: A ship is sailing due north. At a certain point, the bearing of a lighthouse  away is . Later on,…

Q: The two hot-air balloons in the drawing are 48.2 m and 61.0 m above the ground. A person in the left…

A:

Q: t Ө N Radar "dish" A radar station detects an airplane approaching directly from the east. At first…

A: Here, we can initialize a coordinate system with +x in eastward direction and +y in upward…

Q: You are participating in a summer internship with the Coast Guard. You have been assigned the duty…

A:

Q: balloons in the drawing are 48.2 m and 61.0 m above the ground. A person in the left balloon…

A: Given h1 =48.2 m h2 = 61.0 m Angle of elevation  θ =13.3 0   difference in height h = h = h2 - h1  =…

Q: Bronwyn is lost in the woods. If she took the following path, 2.6 km [N35E], 3.1 km [N27W], and then…

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Q: A sailboat sets out from the U.S. side of Lake Erie for a point on the Canadian side, 97.0 km due…

A:

Q: An explorer is caught in a whiteout (in which the snowfall is so thick that the ground cannot be…

A:

Q: A little turtle is placed at the origin of an xy-grid drawn on a large sheet of paper. Each grid box…

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Q: A Texas rancher wants to fence off his four-sided plot of flat land. He measures the first three…

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Q: Star and Kiara are at the 2019 Something in the Water festival in VA Beach. They were separated from…

A: Consider the following illustration of the problem:     Here, A, B, and C are the positions of…

Q: A ferry transports tourists among three islands. It sails from the first island to the second…

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Q: It takes a golfer three strokes to get a golf ball into a hole. On the first hit, the ball moves 6.0…

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Q: An explorer is caught in a whiteout (in which the snowfall is so thick that the ground cannot be…

A: Solution: The explorer travelled 5.3 km due north  8.4 km at 46° North of due East

Q: On the map, let the +x-axis point east and the +y-axis north. An airplane flies at 880 km/h…

A: Draw the diagram of the velocity components with proper labeling.

Q: Lisa and Gina are pulling Aaron and his little red wagon. Gina pulls N 10° E with a force of 160…

A: Angle of Lisa from +x axis, θL = 30°+90° = 120°Angle of Gina from +x axis, θG = 90°-10° = 80°