Work each problem. Measuring Speed by Radar In Exercise 45, we saw that t...

Work each problem.

Measuring Speed by Radar In Exercise 45, we saw that the speed reported by a radar gun is reduced by the cosine of angle u, shown in the figure. In the figure, r represents reduced speed and a represents the actual speed. Use the figure to show why this “cosine effect” occurs.

(Reference Exercise 45)

Measuring Speed by Radar Any offset between a stationary radar gun and a moving target creates a “cosine effect” that reduces the radar reading by the cosine of the angle between the gun and the vehicle. That is, the radar speed reading is the product of the actual speed and the cosine of the angle. Find the radar readings, to the nearest hundredth, for Auto A and Auto B shown in the figure. (Source: Fischetti, M., “Working Knowledge,” Scientific American.)