Dwight pulls his sister in her wagon with a force of 65 n at an angle of 50.0º to the ground. what are the magnitudes of the horizontal and vertical components of the force exerted by dwight?

Refer to the diagram shown.

F = 65 N, the force exerted by Dwight.

The horizontal component of the force is
65 cos(50°) = 41.8 N
The vertical component of the force is
65 sin(50°) = 49.8 N

Horizontal: 41.8 N
Vertical: 49.8 N

The boat's velocity relative to the riverbank can be resolved into two components. the component going north is 2.7 m/s and the component going west is 1.2 m/s.we add these two vectors and then find the magnitude of the resultant to get the speed.the magnitude of the resultant vector from adding can be obtained by the pythagorean theorem.    to two significant figures, the boat's speed relative to the riverbank is 3.0 m/s.