Approximate the horizontal and vertical components of the vector that is described. (Round your answers to two decimal places.)

Question

Approximate the horizontal and vertical components of the vector that is described. (Round your answers to two decimal places.)

A quarterback releases a football with a speed of 45 ft/sec at an angle of 55° with the horizontal.

horizontal     ft/sec

vertical      ft/sec

Answer 1

One component of the vector is always the magnitude of the vector (45) multiplied by sine of the given angle, the other component is the magnitude multiplied by cosine.

Draw a diagram to confirm that the vertical component (opposite the given angle) is 45sin55° j while the horizontal component (adjacent to the given angle) is 45cos55° i