Respuesta :

Answer:

  • B from A: 30°
  • A from B: 210°

Step-by-step explanation:

You want the bearing measured between the two points shown in the figure.

Bearing

The bearing is the angle measured clockwise from "north". Your photo is apparently not oriented exactly, so the measurement we made is probably not completely accurate. (The geometry program used here does not permit the images to be rotated to correct for the distortion.)

To measure the bearing, you must place the protractor so its center point is on one of the cities. The angle to the other one can be read from the scale that has increasing numbers clockwise. The 0 mark on the protractor scale is placed on a line to the north from the initial city.

This protractor seems to show the bearing of B from A is 30°.

Reverse

The bearing in the reverse direction is 180° more (or less) than the bearing in the forward direction. Here, that means the bearing of A from B is 30° +180° = 210°.

The bearing of A from B is 210°.

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Additional comment

The line we drew from A to B obscures the markings on our protractor scale. If you were doing this using the original image, you would want to draw a thin line as accurately as possible. Using an appropriate tool, you would also want to draw a "north" line from one or the other of the cities. We expect that would be perpendicular to any horizontal lines on the page.

We believe our line between the city marks crosses our protractor scale at about 29.6° (or so). Our choice of 30° as the bearing is based on two things: (1) the image provided is rotated slightly CCW, making the bearing angle relative to the image edges be smaller than the angle relative to the text or borders within the image; (2) we assume a textbook problem will have angles that are multiples of 5° or 10°.

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