A radio tower located on the coast can be configured to
Chapter , Problem 8.3.50(choose chapter or problem)
A radio tower located on the coast can be configured to transmit mostly over land and not over the ocean. This way, the available energy is more efficiently used to reach farther inland. The coverage area of such a tower is described by a polar curve called a cardioid5: = 15(1 + cos ). (Distances are given in miles.) The coverage area of the signal is shown in Figure 8.59, where the radio tower is located at the origin. 30 20 20 radio tower east (miles) north (miles) Figure 8.59 (a) How far does the signal reach directly north of the tower? (b) Find the polar coordinates of the point directly east of the tower where you lose the signal. (c) A house is located 25 miles east and 14 miles north of the radio tower. Does the signal reach the house?
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