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Can someone help me with this question? Tell me how you got it so I can understand.

Can someone help me with this question? Tell me how you got it so I can understand-example-1
User Mike Gray
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2 votes

Answer:

a) 110°

b) 290°

Explanation:

A bearing is the measurement of an angle (in degrees), measured clockwise from the north direction.

From the given diagram:

  • Town A is located at point A.
  • Town B is located at point B.

To measure the bearing from Town A (point A) to Town B (point B):

  • Draw a vertical line, representing the north direction, from point A.
  • Draw a line connecting points A and B.
  • Measure the angle between the north direction line and the line connecting points A and B in a clockwise direction.

On the given diagram, the north direction from point A and the line connecting points A and B have already been provided. Similarly, the angle between the northern line and the line connecting points A and B in a clockwise direction has been given as 110°. Therefore, the bearing of Town A to Town B is 110°.

To measure the bearing from Town B (point B) to Town A (point A):

  • Draw a vertical line, representing the north direction, from point B (shown in blue on the attached diagram).
  • Draw a line connecting points B and A (already provided).
  • Measure the angle between the north direction line and the line connecting points B and A in a clockwise direction (shown in red on the attached diagram).

Due to the parallel nature of the two northern lines, the line segment connecting points A and B serves as a transversal. Consequently, the bearing from A to B and the green-marked angle on the attached diagram are consecutive interior angles. This implies that their sum equals 180°, leading to a measurement of 70° for the green-marked angle. Furthermore, considering that the angles around a point add up to 360°, the bearing from point B to point A is found by subtracting 70° from 360°. Therefore, the bearing of Town B to Town A is 290°.

Can someone help me with this question? Tell me how you got it so I can understand-example-1
Can someone help me with this question? Tell me how you got it so I can understand-example-2
User MordechayS
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