91Ó°ÊÓ

State what a positive or negative angle signifies, and explain how to draw each.

For the following exercises, draw an angle in standard position with the given measure. $$ 135^{\circ} $$

For the following exercises, draw an angle in standard position with the given measure. $$ -150^{\circ} $$

For the following exercises, convert angles in degrees to radians. $$ 150^{\circ} $$

For the following exercises, use to given information to find the length of a circular arc. Round to two decimal places. Find the length of the arc of a circle of radius 10 centimeters subtended by the central angle of \(50^{\circ} .\)

For the following exercises, find the angle between \(0^{\circ}\) and \(360^{\circ}\) that is coterminal to the given angle. $$ -40^{\circ} $$

A bicycle with 24 -inch diameter wheels is traveling at 15 mih. Find the angular speed of the wheels in rad/min. How many revolutions per minute do the wheels make?

When being burned in a writable CD-R drive, the angular speed of a CD is often much faster than when playing audio, but the angular speed still varies to keep the linear speed constant where the disc is being written. When writing along the outer edge of the disc, the angular speed of one drive is about 4800 RPM (revolutions per minute). Find the linear speed if the CD has diameter of 120 millimeters.

Two cities have the same longitude. The latitude of city \(A\) is 9.00 degrees north and the latitude of city \(\mathrm{B}\) is 30.00 degree north. Assume the radius of the earth is 3960 miles. Find the distance between the two cities.

A city is located at 75 degrees north latitude. Assume the radius of the earth is 3960 miles and the earth rotates once every 24 hours. Find the linear speed of a person who resides in this city.