Understanding Bearings and Their Applications

The video tutorial explains the concept of bearings, which are acute angles measured from the North-South line. It provides examples of how to draw bearings and solve related word problems. The tutorial emphasizes the importance of starting from the North-South line and using trigonometric functions to calculate distances and angles in various scenarios.

What is the correct way to draw a bearing of North, 30 degrees East?

• Start from the East line and move 30 degrees towards the North.

• Start from the North line and move 30 degrees towards the West.

• Start from the North line and move 30 degrees towards the East.

• Start from the South line and move 30 degrees towards the East.

When given a bearing of South, 50 degrees West, which direction should you start from?

• South

• East

• North

• West

Why should the first letter in a bearing be N or S?

• Because bearings are measured from the East-West line.

• Because bearings are measured from the North-South line.

• Because it is a convention to start with N or S.

• Because it helps in identifying the direction of travel.

A car travels 300 miles on a bearing of North, 40 degrees East. How far has it traveled North?

• 192.8 miles

• 229.8 miles

• 150 miles

• 300 miles

What trigonometric function is used to find the distance traveled North in a bearing problem?

• Sine

• Secant

• Tangent

• Cosine

If a boat is 12 miles West and 15 miles South of an island, what is the bearing to travel directly to the island?

• North 38.7 degrees West

• South 38.7 degrees East

• South 38.7 degrees West

• North 38.7 degrees East

How far is John from the crocodile if Susan spots it at a bearing of North 32 degrees West?

• 700 feet

• 800 feet

• 500 feet

• 600 feet

A boat travels 36 miles at a bearing of North 53 degrees East and then 15 miles at South 37 degrees East. How far is it from the island?

• 53 miles

• 39 miles

• 15 miles

• 36 miles

What is the bearing of the boat from the island after traveling 36 miles North 53 degrees East and 15 miles South 37 degrees East?

• North 75.6 degrees East

• North 53 degrees East

• South 75.6 degrees East

• South 53 degrees East

In a right triangle, if the opposite side is 15 and the adjacent side is 36, what is the angle using tangent?

• 75.6 degrees

• 53 degrees

• 38.7 degrees

• 22.6 degrees