You spot a plane that is 1.45 km north, 2.73 km east, and at an altitude 5.28 km

Question

You spot a plane that is 1.45 km north, 2.73 km east, and at an altitude 5.28 km above your position.

1- How far from you is the plane?

6.11 km

2-At what angle from due north (in the horizontal plane) are you looking?

?????? Degree E of N

3-Determine the plane's position vector (from your location) in terms of the unit vectors, letting ihatbold be toward the east direction, jhatbold be toward the north direction, and khatbold be in vertically upward.

???? km j

???? km j

???? km j

I got only the first one but the other I got them wrong :(

4-At what elevation angle (above the horizontal plane of Earth) is the airplane?

Explanation / Answer

(1.45km)^2+(2.73km)^2+(5.28km)^2= 37.43 (km^2)

Notice that km is squared as well.

(37.43km^2)^(1/2) = 6.1180 km


To find the angle, you just need to use 1.45 km north and 2.73 km east since it is referring to north.


tan(x)= 2.73 km/ 1.45 km
x= tan^-1(1.8827)
x = 62 degrees

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