Word Problems using trigonometry and bearings

The video tutorial explains how to solve a bearing problem involving a ship's journey. It covers the initial movement of the ship, the change in direction, and the use of trigonometry to calculate distances and angles. The tutorial guides viewers through setting up a right triangle, solving for unknowns, and determining the final bearing back to the port of departure.

What is the initial direction the ship travels from the port?

• South

• West

• East

• North

After traveling due West, the ship changes its course. What is the new direction?

• N 30 degrees West

• N 30 degrees East

• S 30 degrees East

• S 30 degrees West

What type of triangle is used to solve the bearing problem?

• Equilateral triangle

• Isosceles triangle

• Right triangle

• Scalene triangle

Which trigonometric function is used to find the adjacent side of the triangle?

• Cosine

• Sine

• Tangent

• Cotangent

What is the value of the adjacent side calculated using cosine?

• 60

• 50

• 25

• 43.30

What is the final bearing angle calculated to return to the port?

• 45 degrees

• 30 degrees

• 60 degrees

• 51.78 degrees

In which direction does the final bearing angle point?

• South 51.78 degrees West

• North 51.78 degrees East

• North 51.78 degrees West

• South 51.78 degrees East