Boat Angle Diagram

An insurance company is investigating an accident in which a speedboat driver ran over some debris, lost control, and crashed. The debris bent the driveshaft of one of the propellers and redirected the thrust (force) it exerts on the boat.

What is known:

• The thrust F of each propeller is 1000 lb.
• The thrust directions are described by the angles
       α = 10°
       β = 5°
       γ = 20°

What is the total thrust (force) on the boat in Cartesian components after the driveshaft was bent?

3D rotation movie
Click and Rotate Boat

• Draw a diagram labeling all known angles.
  
• Using geometry, solve for the Cartesian components of the two propeller forces.
  
• Combine the components to get the total thrust (force) on the boat.