In the control tower at a regional airport, an air traffic controller monitors two aircraft as their positions change with respect to the control tower. One plan is a cargo carrier Boeing 747 and the other plane is a Douglas DC-3. The Boeing is at an altitude of 2,000 m, located at 15° above the horizontal, and 45° north of west, as seen by the tower. The DC-3 is at an altitude of 2,900 m, located at 5° above the horizontal, and located directly west as seen by the tower. (a) Find the position vectors of the planes relative to the control tower (in km). (Express your answers in vector form. Assume the +x-axis is to the east the +y-axis is to the north, and the +z-axis is up towards the sky.) RBoeing km RDC-3 = km (b) What is the distance (in km) between the planes at the moment the air traffic controller makes a note about their positions? km
In the control tower at a regional airport, an air traffic controller monitors two aircraft as their positions change with respect to the control tower. One plan is a cargo carrier Boeing 747 and the other plane is a Douglas DC-3. The Boeing is at an altitude of 2,000 m, located at 15° above the horizontal, and 45° north of west, as seen by the tower. The DC-3 is at an altitude of 2,900 m, located at 5° above the horizontal, and located directly west as seen by the tower. (a) Find the position vectors of the planes relative to the control tower (in km). (Express your answers in vector form. Assume the +x-axis is to the east the +y-axis is to the north, and the +z-axis is up towards the sky.) RBoeing km RDC-3 = km (b) What is the distance (in km) between the planes at the moment the air traffic controller makes a note about their positions? km
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:In the control tower at a regional airport, an air traffic controller monitors two aircraft as their positions change with respect to the control tower. One plan
is a cargo carrier Boeing 747 and the other plane is a Douglas DC-3. The Boeing is at an altitude of 2,000 m, located at 15° above the horizontal, and 45°
north of west, as seen by the tower. The DC-3 is at an altitude of 2,900 m, located at 5° above the horizontal, and located directly west as seen by the
tower.
(a) Find the position vectors of the planes relative to the control tower (in km). (Express your answers in vector form. Assume the +x-axis is to the east
the +y-axis is to the north, and the +z-axis is up towards the sky.)
km
RBoeing
%3D
Rpc-3
km
(b) What is the distance (in km) between the planes at the moment the air traffic controller makes a note about their positions?
km
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