Bearings

​TRUE BEARINGS are used to describe the direction of one object relative to another object.

The direction is described by comparing it with the true north direction.

​A quick recap about degrees.

Multiple Choice

What is the measure of the shaded part of the circle?

• 180 degrees

• 90 degrees

• 360 degrees

• 270 degrees

Multiple Choice

How many 1 degree turns are in a full circle?

• 500
• 1000
• 360
• 15

Multiple Choice

How many degrees make up the marked part of this circle?

• 500
• 60
• 72
• 90

Multiple Choice

What is the measure of the shaded part of the circle?

• 180 degrees
• 90 degrees
• 360 degrees
• 40 degrees

Multiple Choice

What is the measure of a straight angle?

• 12 degrees

• 90 degrees

• 180 degrees

• 360 degrees

Multiple Choice

How many degrees are in a semicircle?

• 90
• 180
• 270
• 360

​Can you match the bearings ....

Match

Match the following:

• $$355\degree$$

• $$290\degree$$

• $$225\degree$$

• $$012\degree$$

• $$85$$

FROM D TO A

FROM C TO D

FROM B TO D

FROM C TO B

FROM A TO B

• FROM D TO A

• FROM C TO D

• FROM B TO D

• FROM C TO B

• FROM A TO B

Fill in the Blanks

State the bearing from P to Q

(use 3 digits without the degree symbol)

Fill in the Blanks

State the bearing from P to Q

(use 3 digits without the degree symbol)

Fill in the Blanks

State the bearing from P to Q

(use 3 digits without the degree symbol)

Fill in the Blanks

State the bearing from P to Q

(use 3 digits without the degree symbol)

Fill in the Blanks

State the bearing from P to Q

(use 3 digits without the degree symbol)

​Using dot points, summarise the important things to remember about bearings.

​Bearings and trigonometry

When posed with a bearings problem, first draw a diagram.

Can you draw a diagram for this problem?

​When Joe goes jogging he finishes 2 km south and 3 km west from where he started. Find Joe's bearing ( to 1 d.p.) from his starting point.

​Did your drawing look like this?

​We can now use trigonometry to find the bearing.

​STEP 1: Find the angle in the triangle

​STEP 2: Look for circle halves or quarters

​STEP 3: Find the total bearing.

Fill in the Blanks

When Walter drives to his sports club, he finishes 10 km east and 7 km south of where he started.  Find Walter’s bearing (to the nearest degree) from his starting point.

(Use 3 digits without the degree symbol)

​Get ready for the final 5 quick fire questions

Multiple Choice

What is
the correct bearing?

• 30
• 330
• 030
• 60

Multiple Choice

Choose the correct true bearing

• 75

• 255

• 195

• 075

Multiple Choice

Find the bearing from B to A.

• 130^o

• 050^o

• 230^o

• 290^o

Multiple Choice

If a ship travels south and then turns to a bearing of $$135^\circ$$ , what direction is the ship now facing?

• Southeast

• Southwest

• Northeast

• Northwest

Multiple Choice

A cyclist travels 5 km west and then 5 km south. What is the bearing from the starting point to the end point?

• $$135^\circ$$

• $$225^\circ$$

• $$315^\circ$$

• $$45^\circ$$