# Measuring Rotation - Page 3

Questions

- How do you find the coordinates of the terminal points corresponding to the following arc length on the unit circle: -9π/-4?
- How do you find the coordinates of the terminal points corresponding to the following arc length on the unit circle: 4π/3?
- What is the distance between the 2 trees? See image for details
- Two wires support a utility pole and form angles α and β with the ground. Find the value of sin(α - β) if tan α=4/3 on the interval (0°,90°) and cotβ=5/12 on the interval (0°,90°)?
- A child swings on a playground swing set. If the length of the swing is 3m and the child swings through an angle of #pi/9#, what is the exact arc length through which the child travels?
- A skateboard ramp is built with an incline angle of #pi/12#. If the base of the ramp is 1 meter in length, determine the exact height of the ramp?
- 1 radian convert into degree minute second ?
- How do you find the coordinates of the terminal points corresponding to the following arc length on the unit circle: -2π/3?
- How do you find the coordinates of the terminal points corresponding to the following arc length on the unit circle: -π/6?
- From the floor of a canyon it takes 62 ft of rope to reach the top of one canyon wall and 86 feet to reach the top of the opposite wall. If 2 ropes make an angle of 123 degrees, what is the distance, d from the top of one canyon wall to the other?
- How do you find the coordinates of the terminal points corresponding to the following arc length on the unit circle: 11π/6?
- How do you find the coordinates of the terminal points corresponding to the following arc length on the unit circle: 11π/4?
- How do you find the coordinates of the terminal points corresponding to the following arc length on the unit circle: 22π/3?
- How do you find the coordinates of the terminal points corresponding to the following arc length on the unit circle: 5π/6?
- How do you draw the angle in standard position, find the reference angle, and find a positive coterminal angle and a negative coterminal angle for -135°?
- How do you find the trig ratios by drawing the terminal and finding the reference angle: sin(235°)?
- If the base angle of an isosceles triangle is 40°, what is the measure of its vertex angle?
- How do you find the coordinates of the terminal points corresponding to the following arc length on the unit circle: -25π/6?
- What is the point on the unit circle that corresponds with π/12?
- A pole leans away from the sun at an angle of 5 degrees to the vertical. When the elevation of the sun is 56 degrees, the pole casts a shadow 43 ft long on level ground. How long is the pole?