8.13 guided notes

2. Use information from the section "Around a Carousel" to determine how far Jada must travel to reach Elena's starting position. Explain how you know.

Around a Carousel Jada, Noah, and Elena are riding a carousel. Here is a view of the carousel. The carousel moves in a counterclockwise direction. When the ride begins, Jada is at position J, Noah is at position N, and Elena is at position E. The measure of angle JON is x/2 and the measure of angle NOE is 2x/3. The radius of the carousel is 20 feet. Let's determine how far Jada must travel to reach Noah's starting position.The angle between J and N is 7:12. The radius of the circle is 20 feet so this means that the length of the are between J and N is 20*n/2 or 10:: feet. To get to N is an additional 20*n/ 3 or ADE/3 feet for a total of 703 feet, which is approximately 73. 3 feet. In your guided notes question 2, determine how far Jada must travel to reach Elena's starting position. It' the carousel makes 1 complete rotation every 10 seconds, at which times will Jada be at her starting position? At which times will she be at Noah's starting position? . Jada starts in position J so she will be back in position J after 10 seconds, 20 seconds, 30 seconds, and so on. - Since it is 1/4 of a complete revolution from point J to point N, Jada will be in position N after 2 1/2 seconds and then every 10 seconds after that. That is 12 1/2 seconds, 22 1/2 seconds, and so on.