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°

Question

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

Approach

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.

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