# Measuring Rotation - Page 2

Questions

- Convert the measure to degrees, minutes, and seconds. pi/5 rad?
- On a (normal) clock with an hour hand and a minute hand, what is the angle between the hour hand and the minute hand when the time is #3:15#?
- How do you determine the quadrant in which the angle #8.3^circ# lies?
- A 38-foot tree casts a 16-foot shadow. What is the measure of the angle of elevation of the sun to the nearest degree?
- What is 6 cos45°+ 3 sec45°?
- A belt 12.25 meters long passes around a 3.5 cm diameter pulley while belt makes three complete revolutions in a minute. How many radian does the wheel turn in 5 seconds?
- If #sec theta = 5/3# and the terminal point determined by #theta# is in quadrant 4, what is the value of #theta#?
- A photographer points a camera at a window in a nearby building forming an angle of 44° with the camera platform. If the camera is 56 m from the building, how high above the platform is the window, to the nearest hundredth?
- Radian of 66°2minute 40 second?
- The measures of the angles of a triangle are in the ratio 5:6:7. What is the measure, in degrees, of the smallest angle of the triangle?
- A fire is spotted 29 degrees west of South. The fire is 58 km from the look out station. A fire fighting base is 62 km due west of the first station. How far is the fire from the fighting base?
- How to convert 70 degrees into radians?
- Find the value of #tan(arcsec(-2))#?
- Sec thita -1÷ sec thita +1 =(sin thita ÷ 1+ costhita)^2 ?
- An observer on the ground looks up to the top of a 92.5 ft tall building at an angle of elevation of 40°. After moving #x# feet further away, the angle of elevation is now 30°. What is #x#?
- What is the reference angle for #t = 4.5#?
- What are two values of #theta# that satisfy #tantheta=-.1405#?
- Find secant of theta if tangent of theta is the square root of 29 over 4?
- What is the length of an arc of circle, knowing the central angle of (pi/4) and radius of 7cm?
- The sum of two angles in a triangle totals 117 degrees, what is the measure of the third angle?