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°.