Find the Distance between two ships | Law of Cosines word problem

The video tutorial explains a navigation problem involving two ships leaving port at different times and directions. The teacher guides students through calculating distances using rates and times, forming a triangle, and applying the law of cosines to find the distance between the ships. Emphasis is placed on verifying solutions and ensuring answers make sense in context.

What is the initial direction of the first ship as it leaves the port?

• N 38 degrees East

• N 38 degrees West

• N 52 degrees East

• N 52 degrees West

How do you calculate the distance traveled by a ship if you know its speed and travel time?

• Distance = Speed + Time

• Distance = Speed / Time

• Distance = Speed x Time

• Distance = Speed - Time

What is the travel time for the second ship if it leaves at 1:30 PM and the distance is measured at 2:30 PM?

• 1 hour

• 1.5 hours

• 2 hours

• 0.5 hours

Which mathematical law is used to find the distance between the two ships?

• Law of Sines

• Pythagorean Theorem

• Law of Tangents

• Law of Cosines

What is the angle between the two ships' paths?

• 14 degrees

• 38 degrees

• 52 degrees

• 90 degrees

Why is it important to verify the solution in the context of the problem?

• All of the above

• To check if the answer is reasonable

• To ensure the answer is in the correct units

• To confirm the calculations are correct

What should you do if your calculated distance seems unreasonable?

• Ignore it and move on

• Recalculate and check for errors

• Ask someone else to solve it

• Change the units