Trigonometry and Navigation Problems

The video tutorial covers solving word problems using the law of sines and cosines, focusing on directional problems. It begins with a review of cardinal directions, followed by examples of drawing directions with specific measurements. The tutorial then presents two main problems: one involving the locations of cities and another involving the locations of ships. Both problems are solved using trigonometric principles, specifically the law of sines and cosines, to find missing distances. The video emphasizes the importance of setting calculators to degrees when solving these problems.

What is the primary focus of the video tutorial?

• Solving word problems using trigonometry

• Solving algebraic equations

• Learning about geometry shapes

• Understanding calculus concepts

Which direction is assigned to moving to the right?

• South

• North

• East

• West

How is 'five kilometers south' represented?

• A line going to the right

• A line going upward

• A line going downward

• A line going to the left

What does 'nine centimeters west' indicate?

• A line going to the right

• A line going upward

• A line going downward

• A line going to the left

How do you measure 'south 37 degrees west'?

• From north to east

• From east to south

• From south to west

• From west to north

What is the starting point for '250 meters north 70 degrees east'?

• East

• West

• North

• South

In the context of directions, what does 'east of south' mean?

• Starting from west and moving south

• Starting from north and moving east

• Starting from south and moving east

• Starting from east and moving south

How is '310 yards 85 degrees west of north' represented?

• Starting from south and moving east

• Starting from west and moving north

• Starting from east and moving south

• Starting from north and moving west

What is the first step in solving the city distance problem?

• Use the Pythagorean theorem

• Calculate the area of the triangle

• Find the midpoint between cities

• Draw the direction for each city

In the city problem, what is the angle between city B and city C?

• 90 degrees

• 50 degrees

• 20 degrees

• 40 degrees