Find the Bearing and Distance | Law of Cosines word problem

The video tutorial explains how to solve a navigation problem involving a cruise ship's journey using bearings and geometry. It covers the interpretation of bearings, calculation of distances using speed and time, and the application of the law of cosines to find missing distances and angles. The tutorial also demonstrates how to calculate the final bearing from the original position, emphasizing the importance of understanding bearings and angles in navigation problems.

What is the initial bearing of the cruise ship as described in the problem?

• 90 degrees

• 120 degrees

• 40 degrees

• 4 degrees

How do you calculate the distance traveled by the cruise ship if it moves at 20 mph for 3 hours?

• 80 miles

• 40 miles

• 60 miles

• 20 miles

Which angle is supplementary to the 120-degree angle in the problem?

• 30 degrees

• 60 degrees

• 40 degrees

• 90 degrees

What formula is used to find the missing side of a triangle when two sides and the included angle are known?

• Law of Sines

• Law of Cosines

• Pythagorean Theorem

• Area Formula

What is the calculated distance from the original position after applying the law of cosines?

• 7000 miles

• 84.51 miles

• 50 miles

• 60 miles

What is the final bearing of the cruise ship from its original position?

• 36 degrees

• 100 degrees

• 76 degrees

• 40 degrees

Why is it important to use the precise value of the calculated side when finding the missing angle?

• To avoid rounding errors

• To match the given side lengths

• To ensure the angle is acute

• To simplify calculations