Consider point A in the following diagrams:
Find the true bearing of A from O.
Determine the compass bearing of point A from O.
Determine the true bearing of the following:
Northeast
Southwest
Determine the true bearing of point B from point A in the following bearings diagram:
Determine the true bearing of point A from point B in the following bearings diagram:
In the figure below, point B is due East of point A:
Find the true bearing of point A from point C.
Find the compass bearing of point A from point C.
Consider the following diagram:
Find the true bearing of point B from point C.
Find the compass bearing of point B from point C.
Consider the following diagram:
Find the true bearing of point C from point A.
Find the compass bearing of point C from point A.
A plane travels \text{N } 36 \degree \text{W} for 9 \text{ km} and then changes direction to \text{S } 30 \degree \text{W} for 4 \text{ km} and then changes one last time to \text{S } 49 \degree \text{E} for 7 \text{ km}.
Draw a diagram that represents its journey.
A plane travels \text{N } 40 \degree \text{E} for 9 \text{ km} and then changes direction to \text{S } 34 \degree \text{E} for 4 \text{ km} and then changes one last time to \text{S } 47 \degree \text{W} for 7 \text{ km}.
Draw a diagram that represents its journey.
During a group hike, a hiker walked 6 \text{ km NE} of base camp. In the evening, the hiker was separated from the group and after a night lost in the wilderness, the hiker was found 6 \text{ km NW} of the base camp.
What compass bearing did the hiker follow during the night?
A boat sets off on a bearing of 058 \degree \text{ T}. After some time, it needs to turn back and head to its original position. Find the true bearing it must travel.
Consider the following diagram:
If the bearing of the clearing from the town is a \degree, find a to the nearest degree.
A boat travelled due south for 2 \text{ km}, and then due east for 3 \text{ km}, as shown in the diagram:
Given that the angle of the compass bearing is a \degree, write the compass bearing of the boat from its starting point in terms of a \degree.
Find the value of a. Round your answer to the nearest degree.
Write the bearing of the boat from its starting point as a true bearing.
Shortly after take-off, a plane is 42 \text{ km} south and 57 \text{ km} west of the airport in Sydney that it left from:
Find the size of the angle marked b, to one decimal place.
Hence, find the compass bearing of the plane from the airport.
State the true bearing of the plane from the airport.
The position of a ship S is given to be 20 \text{ km} from P, on a true bearing of 0 49 \degree \text{ T}. The position of the ship can also be given by its \left(x, y\right) coordinates.
Find the ship's x-coordinate to one decimal place.
Find the ship's y-coordinate to one decimal place.
Luke sailed for 116 \text{ km} on a bearing of 231 \degree.
If w is how many kilometres west he has sailed from his starting point, find w to one decimal place.
Tobias and Patricia are participating a hiking and orienteering activity with their school. At one point in the activity, they are trying to reach a checkpoint on a private farm fence that is 102.7\text{ m} from their position, at a bearing of 068\degree \text{ T}.
They can't travel to the checkpoint directly because they would be trespassing, so they decide to travel due east and then due north to get to the checkpoint.
How far east will Tobias and Patricia have to travel? Round your answer correct to two decimal places.
How far north will Tobias and Patricia have to travel? Round your answer correct to two decimal places.
On an orienteering course, Valentina runs 550 \text{ m} north from point A to point B, then turns east and runs to point C.
If the true bearing of C from A is 041 \degree \text{ T}, find the distance, d, to the nearest metre.
Three television presenters are practising their navigation skills before heading off on an expedition to a remote location.
Belinda at point B is positioned 17.6 \text{ m} south of Amelia at point A. Carl at point C is due east of Belinda and on a bearing of \text{S } 38 \degree \text{E} from Amelia.
If Amelia and Carl are d \text{ m} apart, find d to one decimal place.
During a rescue search, a helicopter flew west from point X to point Y, then changed course and flew 10.7 \text{ km} north to point Z.
If point Z is on a bearing of 335 \degree \text{ T} from point X:
Find the size of \angle YXZ.
If the distance from point Y to point X is b \text{ km}, find b to one decimal place.
If the distance that the helicopter must fly between point Z and point X is d \text{ km}, calculate d to one decimal place.
A yacht sailed in a direction so that its final position was 248 \text{ km} west and 225 \text{ km} south of its starting point.
If the true bearing on which the yacht sailed is b \degree, find the value of b to one decimal place.
If the boat has sailed a total of d \text{ m}, find the value of d to one decimal place.
A rally car starts at point P and races 191 \text{ km} south to point Q. Here the car turns west and races for 83 \text{ km} to point R. At point R the car must turn to head directly back to point P.
Find angle a, to one decimal place.
Determine the compass bearing of P from R, to one decimal place.
Hence, determine the compass bearing of R from P, to one decimal place.
