An architect has designed two tunnels. Tunnel A is modeled by2+7+30x+56=0, and tunnel B is modeled by 2-3x+15y-55-0, 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)