commuter air plane starts from and takes the route. first it flies into city A located 175km in direction 30¡ã north of east. next it flies 150km 20¡ã west of north cityB finally it flies 190km due west to city C . find the location C relative to location of the starting point

North=

175 sin 30 + 150 cos 20 + 190 *0

East =
175 cos 30 - 150 sin 20 - 190

distance = sqrt(North^2+East^2)

tan angle = North/East
note, negative, quadrant 2, angle is angle above West direction

To find the location of city C relative to the starting point, we need to follow the path taken by the commuter airplane step by step. Let's break it down:

Step 1: Flight to City A
The airplane flies 175km in the direction 30° north of east. This means that it creates an angle of 30° above the positive x-axis (east) and moves 175km in that direction.

Step 2: Flight to City B
From City A, the airplane flies 150km in the direction 20° west of north. This means that it creates an angle of 20° below the positive y-axis (north) and moves 150km in that direction.

Step 3: Flight to City C
Finally, from City B, the airplane flies 190km due west. This means that it moves 190km directly towards the west, parallel to the x-axis.

Now let's combine these steps to find the location of City C relative to the starting point:

1. Start at the origin as the starting point of the airplane.
2. From the origin, move 175km in the direction of 30° above the positive x-axis (east). This will take you to the location of City A.
3. From City A, move 150km in the direction of 20° below the positive y-axis (north). This will take you to the location of City B.
4. From City B, move 190km directly towards the west, parallel to the x-axis. This will take you to the location of City C.

By following these steps, you can determine the location of City C relative to the starting point.