Applying the law of cosines to solve a word problem

The video tutorial covers the concept of bearings and how to apply the law of cosines to calculate distances between points. It explains the process of determining angles and bearings using mathematical principles, and concludes with final calculations to find the distance from Rosewood to Niagara. The tutorial emphasizes understanding bearings, using the law of cosines, and calculating angles accurately.

What is the initial bearing required to travel from Niagara to Claremont?

• 32 degrees

• 15 degrees

• 90 degrees

• 75 degrees

Which mathematical law is used to find the unknown distance X in the problem?

• Law of Sines

• Law of Cosines

• Pythagorean Theorem

• Law of Tangents

What is the angle between NE and SW directions?

• 15 degrees

• 32 degrees

• 90 degrees

• 75 degrees

How is the angle 137 degrees derived in the context of the problem?

• By dividing 90 by 15 degrees

• By multiplying 32, 90, and 15 degrees

• By subtracting 32 from 90 degrees

• By adding 32, 90, and 15 degrees

What is the calculated distance from Rosewood to Niagara?

• 137 miles

• 810 miles

• 648 miles

• 1357.85 miles

Which quadrant is the angle 137 degrees located in?

• First quadrant

• Fourth quadrant

• Second quadrant

• Third quadrant

What is the final bearing from the problem's solution?

• North 75 degrees East

• North 56 degrees East

• North 32 degrees East

• North 90 degrees East