Bearings and Trigonometric Rules

The video tutorial explains how to solve a bearings problem using the S Rule and cosine rule. It begins with an introduction to the problem, followed by drawing a diagram to visualize the bearings. The tutorial then demonstrates how to use the cosine rule to calculate distances between points. Finally, it shows how to find the bearing of one point from another using trigonometric rules. The video emphasizes the importance of extending north-south lines for accurate angle calculations.

What mathematical rules are introduced for solving the bearings problem?

• Pythagorean theorem and tangent rule

• Tangent rule and sine rule

• S Rule and cosine rule

• Pythagorean theorem and sine rule

Why is it suggested to extend the North line when dealing with bearings?

• To help with parallel line calculations

• To assist in angle calculations

• To ensure the ship's path is clear

• To make the diagram look symmetrical

What is the bearing of the ship from point A to point B?

• 160°

• 40°

• 90°

• 60°

What is the angle turned by the ship at point B to reach point C?

• 120°

• 40°

• 160°

• 180°

Which rule is used to calculate the distance AC?

• Cosine rule

• Pythagorean theorem

• Sine rule

• Tangent rule

What is the calculated distance AC rounded to two significant figures?

• 4.4 km

• 5.5 km

• 3.3 km

• 6.6 km

Which angle is used in the cosine rule to find the distance AC?

• 40°

• 60°

• 160°

• 20°

What should you ensure about your calculator when performing trigonometric calculations?

• It is in degrees mode

• It is in radians mode

• It is in scientific mode

• It is in basic mode

What is the purpose of using the sine rule in the final section?

• To verify the cosine rule

• To determine the ship's speed

• To calculate the angle Theta

• To find the distance between two points

What is the final bearing of A from C rounded to the nearest degree?

• 180°

• 360°

• 303°

• 33°