How to find the bearing and distance a boat travels using trigonometry

The video tutorial guides viewers through solving a navigation problem involving a boat's journey. It begins with setting up initial data, including speed and direction, and identifying the problem of finding the bearing and distance from the original point. The instructor explains how to create a visual representation and handle course changes. The tutorial concludes with calculating the distance and bearing using trigonometry, emphasizing the importance of understanding angles and navigation principles.

What is the initial speed of the boat?

• 40 knots

• 50 knots

• 30 knots

• 60 knots

What is the first course direction of the boat?

• 85 degrees

• 45 degrees

• 75 degrees

• 65 degrees

What is the purpose of defining variables in the problem-solving process?

• To clearly identify what needs to be solved

• To confuse the solver

• To make the problem more complex

• To avoid solving the problem

How long does the boat travel on the second course?

• 5 hours

• 4 hours

• 3 hours

• 2 hours

What is the distance traveled by the boat on the first course?

• 60 nautical miles

• 70 nautical miles

• 80 nautical miles

• 90 nautical miles

What geometric shape is used to represent the problem?

• Circle

• Square

• Triangle

• Rectangle

What is the calculated hypotenuse of the triangle?

• 170 nautical miles

• 178.9 nautical miles

• 160 nautical miles

• 150 nautical miles

What trigonometric function is used to find the angle?

• Sine

• Cosine

• Tangent

• Cotangent

What is the final bearing from the original point?

• 148 degrees

• 138 degrees

• 118 degrees

• 128 degrees

Why is the inverse tangent used in the final calculation?

• To find the distance

• To find the angle

• To find the time

• To find the speed