An architect has designed two tunnels. Tunnel A is modeled by x² + y² + 30x +56= 0, and tunnel B is modeled by x²-30x + 16y-95= 0, where all measurements are in feet. The
architect wants to verify whether a truck that is 8 feet wide and 13.5 feet high can pass through the tunnels.
Part A: Write the equation for Tunnel A in standard form and determine the conic section. Show your work. (4 points)
Part B: Write the equation for Tunnel B in standard form and determine the conic section. Show your work. (4 points)
Part C: Determine the maximum height of each tunnel. Is the truck able to pass through either tunnel without damage? If so, which tunnel(s) and why? Show your work. (7 points)