A person gets on a Ferris wheel at the starting point. The starting point is 15 feet off the ground. The Ferris wheel has a radius of 50 feet. What is the height of the rider from the ground after the Ferris wheel rotates Start Fraction 11 pi over 12 End Fraction radians?
An image shows a Ferris wheel.The Ferris wheel is represented by a circle with a dashed horizontal radius. A vertical radius is drawn from the center of the circle to the lowest point on the circle and is labeled 50 feet. The ground below the Ferris wheel is represented by a horizontal line below the circle. A dashed segment goes from the lowest point on the circle to the ground below and is labeled 15 feet. The position of the rider is represented by a point on the circle in the first quadrant labeled left-parenthesis 50 cosine theta comma 50 sine theta right-parenthesis, after a rotation of start fraction 11 pi over 12 end fraction radians from the starting point at the bottom of the Ferris wheel. A dashed perpendicular line goes from the point representing the position of the rider down to the horizontal radius.
(1 point)
Responses
Start Fraction 25 over 2 End Fraction left-parenthesis negative Start Root 2 End Root plus Start Root 6 End Root right-parenthesis plus 65
Image with alt text: Start Fraction 25 over 2 End Fraction left-parenthesis negative Start Root 2 End Root plus Start Root 6 End Root right-parenthesis plus 65
Start Fraction 25 over 2 End Fraction left-parenthesis negative Start Root 2 End Root plus Start Root 6 End Root right-parenthesis
Image with alt text: Start Fraction 25 over 2 End Fraction left-parenthesis negative Start Root 2 End Root plus Start Root 6 End Root right-parenthesis
Start Fraction 25 over 2 End Fraction left-parenthesis Start Root 2 End Root plus Start Root 6 End Root right-parenthesis
Image with alt text: Start Fraction 25 over 2 End Fraction left-parenthesis Start Root 2 End Root plus Start Root 6 End Root right-parenthesis
Start Fraction 25 over 2 End Fraction left-parenthesis Start Root 2 End Root plus Start Root 6 End Root right-parenthesis plus 65