you designed an elliptical platform that is 12ft across at its widest point. the choreographer of a play wants to place it on a diagram of her set so it is oriented horizontally with the center at (9,7) from the front left corner of the stage. she also wants the front of the stage. write an equation for your elliptical platform for her diagram.
1. what is the width of the platform
2. where is the center of the platform on the diagram
3. how far is the platform from the stage
4. what is the problem asking you to determine
5. how can a sketch help you write the equation
6. make a sketch of the stage
7. what is the general form of the equation of a horizontal ellipse
8. what information do you need to write the equation
1. The width of the platform is 12ft.
2. The center of the platform on the diagram is at (9,7).
3. The platform is 9ft from the stage.
4. The problem is asking to determine the equation of the elliptical platform for the diagram of the set.
5. A sketch can help visualize the orientation and positioning of the platform on the stage, which can then help write the equation.
6. (insert sketch of the stage here)
7. The general form of the equation of a horizontal ellipse is: $\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} = 1$, where (h,k) is the center of the ellipse, and 2a is the length of the major axis and 2b is the length of the minor axis.
8. In order to write the equation, we need the center of the platform on the diagram (which is given as (9,7)) and the width of the platform (which is given as 12ft).