Question 1
What is the shortest distance between the start and the wall?
76m.
How many seconds will it take to be at the farthest point from the wall?
15 seconds.
The distance, d, that a person is from the wall can be described by the equation d = 40sin(15t) + _____?
45
What is the length of the radius?
4
This line connects the center of my circle to the edge of my circle.
What is radius?
What is the closest distance between a position on the Ferris wheel from the wall?
76 - 40 = 36m
How many degrees per second does the Ferris wheel rotate?
6 degrees per second.
What is the distance from the wall after 20 seconds?
d = 40sin((15)(20)) + 45 = 10.36m
What is the measure of the angle?
52.24 degrees
Use this acronym to identify the three trigonometric ratios.
What is SOHCAHTOA?
What is the farthest distance between a position on the Ferris wheel from the wall?
76 + 40 = 116m
What is the distance from the wall after 30 seconds?
50sin((6)(30)) + 70 = 70m
What is the distance from the wall after 13 seconds?
d = 40sin((15)(13)) + 45 = 34.65m
What is the value of sin?
Opp / Hyp
sqrt(10) / 4
When an angle is in standard position, it starts at the positive x-axis and opens in which direction? (Clockwise or Counterclockwise?)
Counterclockwise
From the start position, the Merry-Go-Round rotates counterclockwise 42 degrees. How far is Position A from the wall?
40(sin(42)) + 76 = 102.765m
What is the distance from the wall after 40 seconds?
50 sin((40)(6)) + 70 = 26.7m
The owner of the Merry-Go-Round DOUBLES the speed. Rewrite the equation for d.
d = 40sin(30t) + 45
What is the value of cos?
Adj / Hyp
sqrt(6) / 4
This angle is the measure of the opening between the x-axis and the hypotenuse of the triangle on a circle. It is always between 0 and 90 degrees.
What is reference angle?
What other degree rotation will result in the same height as Point A?
138 degrees
A person on the Ferris wheel thinks they are the same distance from the wall after 20 seconds as they are 40 seconds. Are they correct?
No
The owner of the Ferris Wheel QUADRUPLES the speed. Rewrite the equation d of the Ferris Wheel.
d = 40sin(60t) + 45
The sine of another angle in a standard position has the same value. At what point on the circle does the terminal side of that angle pass?
( -sqt(6) , sqrt(10) )
We use the formula
= r sin (degree/second)(time) + height
to find what?
What is the distance?