Subject: applications of quadratic relations I can't figure this question out: A tunnel is built under a river for a road 12m wide with a 2m sidewalk on either side. The top of the tunnel is semielliptical. A local bylaw stipulates that there must be a clearance of at least 3.6m at all points on the road. If the smallest possible ellipse is used, find the clearance at the center of the road. Thanks! Hi Janna,Put a coordinate system on the plane with the center of the ellipse at the origin and the road on the xaxis, then the equation of the ellipse is You also know that the ellipse passes through (6,3.6) and thus Harley
