New Zealand
Level 6 - NCEA Level 1

# Applications of Bearings

## Interactive practice questions

A plane travels $N$N$36^\circ$36°$W$W for $9$9 km and then changes direction to $S$S$30^\circ$30°$W$W for $4$4 km and then changes one last time to $S$S$49^\circ$49°$E$E for $7$7 km.

Which diagram matches its journey?

Note: diagrams are not to scale.

A

B

C

D

A

B

C

D
Easy
Approx a minute

A plane travels $N$N$40^\circ$40°$E$E for $9$9 km and then changes direction to $S$S$34^\circ$34°$E$E for $4$4 km and then changes

one last time to $S$S$47^\circ$47°$W$W for $7$7 km.

Which diagram matches its journey?

Note: diagrams are not to scale.

Given the diagram shown, if the bearing of the clearing from the town is $a$a°, find $a$a to the nearest degree.

A boat traveled due south for $2$2 km, and then due east for $3$3 km. We are going to determine the compass bearing of the boat from its starting point.

### Outcomes

#### GM6-7

Use a co-ordinate plane or map to show points in common and areas contained by two or more loci

#### 91033

Apply knowledge of geometric representations in solving problems