Jeremy boards a Ferris wheel at the 3- o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rotates at a constant angular speed of 7.3 radians per minute and has a radius of 50 feet. Let t represent the number of seconds since the Ferris wheel started rotating. a. Write an expression (in terms of t) to represent the varying number of radians Jeremy has swept out since the Ferris wheel started rotating. Preview b. Write a function f that determines Jeremy's distance above the center of the Ferris wheel (in feet) in terms of t. ƒ(t) = Preview c. How long does it take for Jeremy to complete one full revolution on the Ferris wheel? Preview minutes

Is three radians more or less than 180 degrees

Kristin boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for one full rotation as shown. The Ferris wheel's radius is 11 meters long. Let s represent the distance Kristin has traveled along the circular path since the ride started (in meters). Imagine an angle centered at the Ferris wheel's center that subtends the path Kristin travels. a. Write an expression (in terms of s) to represent the angle's measure (in radians). 8 11 Check your variables - you might be using an incorrect one - 0:00/0:11 sin Kristin x syntax error: you gave an equation, not an expressionsyntax error b. Write an expression (in terms of s) to represent Kristin's height above the Ferris wheel's center measured in radius lengths. X x c. Write an expression (in terms of s) to represent Kristin's height above the Ferris wheel's center measured in meters.

Suppose a person begins walking away from a light pole at a constant rate of 0.88 meters per second. The person knows that as they walk away from the pole that the length of their shadow increases. The person is wondering if the length of their shadow is also changing at a constant rate. Assume that θ is measured in degrees. The light pole is still 3.69 meters tall, and the person is still 1.92 meters tall. a. Write an expression for the distance of the person from the light pole, measured in meters, in terms of the number of seconds (t) since they began walking: d= b. Using what you know about similar triangles, write an expression for the length of the person's shadow, measured in meters, in terms of the number of seconds (t) since they began walking: s= c. Find the average rate of change of the length of the person's shadow, in meters, with respect to time over each given interval.       i. The first 11 seconds since the person began walking.       ii. From 11 seconds to 19 seconds…