Question
Asked Dec 23, 2019
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Please answer parts a, b, and c in the attached question

The radar from an airport's control center is shown alongside. The grid
y (km)
units are kilometers.
An airplane with altitude 500 m appears on the radar at (-3,4). It is
approaching a runway 1 km east of the control center.
a (km)
Find the 3-dimensional coordinates of the plane.
(a)
(b)
How far is the plane from the control center?
Find the true bearing of the runway from the plane.
(c)
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The radar from an airport's control center is shown alongside. The grid y (km) units are kilometers. An airplane with altitude 500 m appears on the radar at (-3,4). It is approaching a runway 1 km east of the control center. a (km) Find the 3-dimensional coordinates of the plane. (a) (b) How far is the plane from the control center? Find the true bearing of the runway from the plane. (c)

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Expert Answer

Step 1

Bearing angle is the measure of angle in clockwise direction from northline.

Distance formula for the figure in 3D between two point (a,b,c) and (x,y,z) is given as,

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d = (x-a)° +(y -b) +(:-c)°

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Step 2
  1. a) Convert 500 m to km

1m= 0.001km

500m=0.5Km

0.5Km would be the z-coordinate

Thus, the 3D coordinate of the plane will be

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(-3, 4,0.5)

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Step 3

Distance between origin (0,0,0) and ...

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d = (-3-0) +(4-0)* +(0.5 – 0)² = 19 +16+0.25 = V25.25 = 5.02

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