Compass Directions
Basic Bearings
Reverse Bearings
SOHCA
HTOA
Navigation Problems
100

What is the direction opposite South?

North

100

From which direction do we always start measuring bearings?

North

100

How many degrees do we add or subtract to find a reverse bearing?

180°

100

In SOHCAHTOA, what does SOH mean?

Sine = Opposite / Hypotenuse

100

A student walks 3 km north and 4 km east. What is the shortest straight-line distance from the starting point?

5 km

200

What direction is halfway between North and East?

Northeast

200

Are three-figure bearings measured clockwise or counterclockwise?

Clockwise

200

What is the reverse bearing of 060°?

240°

200

Which trigonometric ratio uses Adjacent / Hypotenuse?

Cosine

200

A boat travels 80 m at a bearing of 090°. How far east does it travel?

80 m

300

What direction is halfway between South and West?

Southwest

300

A boat travels at a bearing of 045°. In which direction is it traveling?

Northeast

300

What is the reverse bearing of 250°?

070°

300

A boat travels 100 m at a bearing of 060°. Which trigonometric function should be used to find its northward distance?

Cosine

300

A ship travels 150 km at a bearing of 000°. How far north does it travel?

150 km

400

What is the three-figure bearing of East?

090°

400

An airplane flies at a bearing of 135°. In which direction is it heading?

Southeast

400

A helicopter travels at a bearing of 125°. What is its reverse bearing?

305°

400

A boat travels 100 m at a bearing of 030°. How far east does it travel?

50 m

400

A helicopter travels 100 km at a bearing of 030°. How far north does it travel? Round to two decimal places.

86.6 km

500

What is the three-figure bearing of West?

270°

500

A ship sails at a bearing of 300°. Between which two cardinal directions is it traveling?

West and North

500

A ship travels from Island A to Island B at a bearing of 310°. What is the bearing from Island B back to Island A?

130°

500

An airplane travels 200 km at a bearing of 060°. How far north does it travel?

100 km

500

A rescue team walks 6 km north and 8 km east. What is the shortest distance and bearing from its starting point? Round the bearing to the nearest degree.

10 km at a bearing of 053°