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Bearings & Triangles Quiz

Froggy Jumps

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Cosines and sines with bearings

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Philippines

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Bearings & Triangles Quiz
 

Froggy Jumps

Bearings & Triangles QuizOnline version

Cosines and sines with bearings

by JOCELYN AMOYO
1

From point A, AB=25 km on bearing 040°. From A to C, AC=18 km on bearing 120°. Find BC (use the law of cosines).

2

AB=12 km bearing 030°. AC=9 km bearing 090°. What is BC? (difference in bearing is 60°)

3

AB=15 km bearing 045°. AC=20 km bearing 150°. Angle between them is 105°. Find BC.

4

Two sides 7 km and 5 km with included bearing angle 40°. Use law of cosines to get BC.

5

B and C are 13 km apart. From A, AB=9 km on bearing 010°, AC=12 km on bearing 260°. Find angle BAC using bearings then compute BC (cos rule).

6

AB=11 km bearing 350°. AC=14 km bearing 100°. Distance BC by cosine rule?

7

Using the sine rule, if AB=9 km opposite angle B and AC=12 km opposite angle C with angle A from bearings 60°, find BC.

8

From A, AB=8 km bearing 015°, AC=6 km bearing 075°. Find BC using sine rule after getting angle A from bearing difference.

9

AB=20 km bearing 120°, AC=15 km bearing 300°. Angle between paths is 180°−(120−300 mod 360). Compute BC.

10

AB=14 km bearing 050°, AC=9 km bearing 170°. Solve BC by cosine rule.

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