Question

concept preview match the measure of bearing in column i with the appropriate graph in column ii.

1. 20°
2. s 70° w
3. 160°
4. s 20° w
5. n 70° w
6. 340°
7. 110°
8. 270°
9. 180°
10. n 70° e

concept check the two methods of expressing bearing can be interpreted using a rectangular - coordinate system. suppose that an observer for a radar station is located at the origin of a coordinate system. find the bearing of an airplane located at each point. express the bearing using both methods.

1. (-4,0)
2. (5,0)
3. (0,4)
4. (0, - 2)
5. (-5,5)
6. (-3, - 3)
7. (2, - 2)
8. (2,2)

solve each problem. see examples 1 and 2.

1. distance flown by a plane a plane flies 1.3 hr at 110 mph on a bearing of 38°. it then turns and flies 1.5 hr at the same speed on a bearing of 128°. how far is the plane from its starting point?

Explanation:

1. Match the measure of bearing in Column I with the appropriate graph in Column II:

• 1. \(20^{\circ}\): This is a bearing measured from the north - clockwise. It corresponds to graph C.
• 2. \(S70^{\circ}W\): This means starting from the south and moving \(70^{\circ}\) towards the west. It corresponds to graph G.
• 3. \(160^{\circ}\): Measured from the north - clockwise, it corresponds to graph H.
• 4. \(S20^{\circ}W\): Starting from the south and moving \(20^{\circ}\) towards the west. It corresponds to graph A.
• 5. \(N70^{\circ}W\): Starting from the north and moving \(70^{\circ}\) towards the west. It corresponds to graph E.
• 6. \(340^{\circ}\): Measured from the north - clockwise, it corresponds to graph D.
• 7. \(110^{\circ}\): Measured from the north - clockwise, it corresponds to graph F.
• 8. \(270^{\circ}\): Measured from the north - clockwise, it corresponds to graph J.
• 9. \(180^{\circ}\): Measured from the north - clockwise, it corresponds to graph I.
• 10. \(N70^{\circ}E\): Starting from the north and moving \(70^{\circ}\) towards the east. It corresponds to graph B.

Answer:

1. C
2. G
3. H
4. A
5. E
6. D
7. F
8. J
9. I
10. B