Saje McDowell

Question 1: Campsite #1, lookout tower, and campsite #2 form a central angle within the circle. If the angle formed is 120°, describe the relationship between the angle and the arc it intercepts. You must show all work to receive credit. Since the central angle is 120 degrees, the arc BEC would be its intercepted arc. Since a intercepted angle and a central angle have the same value, it would be 120 degrees.

Question 2: An inscribed angle is formed by lookout tower, campsite #1, and campsite #2. If the angle formed is 30 degrees, describe the relationship between the angle and the arc it intercepts along the circle. You must show all work to receive credit. <ACB = ½ arc 30 degrees= ½ arc … The inscribed angle is equal to half of the intercepted arc which will be 60 degrees.

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The rangers use two-way radios to communicate with one another. The radios from the ranger station can only receive signals within a 65° angle before the signal is lost. A ranger team is located at point E, while another team heads to point F to attempt to lure the bears to a more remote location. If the arc formed by ECF is 110°, can the ranger station communicate with both teams, or will they risk losing the signal? What description can be given to the line that connects the ranger station with either point E or point F and how do you know? You must show all work and steps to receive