?[T] A 1500-lb boat is parked on a ramp that makes an angle of \(30^{\circ}\) with the

Chapter 2, Problem 57

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[T] A 1500-lb boat is parked on a ramp that makes an angle of \(30^{\circ}\) with the horizontal. The boat’s weight vector points downward and is a sum of two vectors: a horizontal vector \(\mathbf{v}_{1}\) that is parallel to the ramp and a vertical vector \(\mathbf{v}_{2}\) that is perpendicular to the inclined surface. The magnitudes of vectors \(\mathbf{v}_{1}\) and \(\mathbf{v}_{2}\) are the horizontal and vertical component, respectively, of the boat’s weight vector. Find the magnitudes of \(\mathbf{v}_{1}\) and \(\mathbf{v}_{2}\) . (Round to the nearest integer.)

                             

Text Transcription:

30^circ

v_1

v_2