Tunnel A is modeled by x^2+y^2+20x-69=0 and Tunnel B is modeled by x^2-40x+16y+160=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. Show your work.

Part A: Write the equation for Tunnel A in standard form and determine the conic section

Part B: Write the equation for Tunnel B in standard form and determine the conic section

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.