In: Advanced Math
A two-lane tunnel opening in the shape of a semi-ellipse has a height of 16 feet and a width of 32 feet.
a) Determine an equation that represents the tunnel opening.
b) Explain with appropriate mathematical work and complete sentences whether a truck that has a height of 14 feet and a width of 8 feet can safely'enter the tunnel without crossing into the other lane of traffic and do not touch the sidewall. Assume the road is centered in the tunnel and the width of one lane is 12 feet.