Assume that Bruce drives in the middle of the road.
No, see solution.
Practice makes perfect
Before we determine whether or not Bruce can fit his truck through the tunnel, let's draw the tunnel using the given dimensions. Notice that the tunnel is semi-circular which means that the height from the middle of the road and to the tunnel's ceiling, is also the tunnel's radius.
Assuming that Bruce drives in the middle of the road, we can illustrate Bruce's attempt to drive through the tunnel with the following diagram.
If the house can make it through the tunnel, the distance between the ground and the tunnel's ceiling must be less than 24 feet at the top corners. Since Bruce is driving in the middle of the tunnel, we can view the truck's side as a leg in a right triangle with a hypotenuse equal to the radius. The shorter of the legs will have a length that is half the width of the truck.
Using the Pythagorean Theorem, we can calculate the height, a. Once again, if it is less than 24 feet, Bruce cannot make it through the tunnel.
The height of the tunnel where the sides of the house would be is 23.56 feet. Since the house is 24 feet high, Bruce cannot make it through the tunnel.
