Reference Angles.notebook October 25, 2011 Section 5.1: Reference Angles Reference Angle: An acute angle formed by the terminal side of the given angle and the xaxis. • always positive • always less than 90 • notation: α' Quadrant rules: What is the reference angle for a 120 degree angle? What is the reference angle for a 135 degree angle? What is the reference angle for a 312 degree angle? 1 Reference Angles.notebook October 25, 2011 For each angle given: 1. Find a coterminal angle between 0 and 360 2. Find its reference angle a. 560 b. 1297 2 Reference Angles.notebook October 25, 2011 A computer's hard disk is spinning at 90 revolutions per second. Through how many degrees does it travel in a second? in a minute? A tower restaurant in Sydney, Australia, is 300 meters above sea level and provides a 360 degree panoramic view of the city as it rotates every 70 minutes. A tower restaurant in San Antonio, Texas, is 750 feet tall. It revolves at a rate of one revolution per hour. a. In a day, how many more revolutions does the restaurant in San Antonio make than the one in Sydney? b. In a week, how many more degrees does a speck of dirt on the window of the restaurant in San Antonio revolve than a speck of dirt on the windo of the restaurant in Sydney? 3
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