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Angles and Compass Bearings
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Angles and Compass Bearings
A hiking group is navigating a trail. Use angle facts and three-figure bearings to help them reach the lookout. Bearings are measured clockwise from North and written with three digits, such as 045°.
Part A: Angle detective
Classify and reason about angles.
1.An angle measures 38°. Is it acute, right, obtuse or reflex?
- Acute
- Right
- Obtuse
- Reflex
2.A trail sign turns through 127°. How many degrees more than a right angle is this?
3.Fill in both blanks: a straight angle is °, and a full turn is °.
Part B: Follow the compass
Bearings start at North and are measured clockwise.
4.Which compass direction is halfway between North and East?
5.The group walks directly East from camp. What is the three-figure bearing?
- 045°
- 090°
- 180°
- 270°
6.A bearing is 225°. Which compass direction does this point towards?
- North-east
- South-east
- South-west
- North-west
7.Moving clockwise from North, write the two missing directions: N → → E → → S.
Part C: Navigate the trail
Use bearings to plan a safe return route.
8.Tahnee walks from the trail marker on a bearing of 045° to reach a lookout. What bearing will take her straight back to the marker?
9.Jai says, “A bearing of 180° points West.” Is Jai correct? State the correct direction and explain briefly.
10.From the picnic spot, the lookout is 300 m due East. From the lookout, the creek is 200 m due South. Write the bearing for each leg, then calculate the total distance walked.
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