Two sides of a triangle are 3 m and 5 m respectively. If the included angle is changing at the rate of 2 radian per second, at what rate is the third side changing when the included angle is 30°

A neighborhood carnival has a Ferris wheel with a radius of 10 meters. You measure the time it takes for 3 revolutions to be 3.5 minutes. Answer the problems with exact solutions. Determine the angular speed, in radians per second. Determine the linear speed, in meters per second.

An energy efficient hard drive has a 1.25 inch radiu and spins at 6000 rpm.     Find the angular speed in radians per minute.  Leave your answer in exact form.

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A rock is throw horizontally off a cliff.  After 3.0 seconds the velocity of the rock has an angle of 10° below the horizontal.  Determine the magnitude of the initial velocity of the rock.

Two students are standing 15 feet apart. Between them is a wall. The angle of the student’s foot and the top of the wall is 20° and then 40° to the other student’s foot. How tall is the wall?  Round to the nearest hundredth.

Use a half-angle formula to find the exact value of cos 22.5°.

Find the coordinates of the point on a circle with a radius of 8 corresponding to an angle 7pi/4. Then find sine and cosine of the angles.

How many degrees is 6 radians?

1. SOLVE - Convert between degrees, radians and revolutions. Degree Radian Revolution 320° 2n