The video tutorial explains how to calculate the distance and bearing of a boat's journey using the Pythagorean theorem and trigonometry. It starts with setting up the problem, calculating the distance traveled, verifying the calculations, and then moves on to understanding and calculating bearings. The tutorial emphasizes checking the results for accuracy and provides step-by-step guidance on using mathematical concepts to solve the problem.

How far does the boat travel east after turning?

• 4 miles

• 140 miles

• 35 miles

• 70 miles

What theorem is used to calculate the distance back to port?

• Pythagorean theorem

• Tangent rule

• Sine rule

• Cosine rule

What is the calculated distance back to port?

• 140 miles

• 156 miles

• 70 miles

• 200 miles

What is the initial angle calculated for the bearing back to port?

• 45 degrees

• 26.565 degrees

• 90 degrees

• 63.435 degrees

What is the bearing from due south to port?

• S 26.565° W

• N 26.565° E

• N 63.435° E

• S 63.435° W

What is the bearing from due north to port?

• N 243.435° W

• S 116.565° E

• S 243.435° E

• N 116.565° W

How can you calculate the bearing from due north using the angle from due south?

• Add 90 degrees

• Subtract from 270 degrees

• Add 180 degrees

• Subtract from 360 degrees