Question

suppose that a dome has a semielliptical ceiling, long 98ft and 21ft high. choose a coordinate system so that the center of the semi ellipse is (0,0) with vertices (-49,0) and (49,0) and with the top of the ceiling at (0,21).

Answer 1

To define the coordinate system for a semielliptical dome, we can choose the center of the semiellipse as the origin, the x-axis as the horizontal line through the center, and the y-axis as the vertical line through the center.

Step-by-step explanation:

To define the coordinate system for the semielliptical dome, we can use the given information.

Let's choose the center of the semiellipse as the origin (0,0) and the x-axis as the horizontal line passing through the center.

The y-axis can be the vertical line passing through the center.

The vertices of the semiellipse will have coordinates (-49,0) and (49,0). The top of the ceiling will have coordinates (0,21).

This coordinate system will help us locate any point on the semielliptical ceiling of the dome.