In cross section, a tunnel that carries one lane of one-way traffic is

We are given that a tunnel in the shape of a semicircle has a radius of 4.2 meters. Since it has a radius of 4.2 meters and hence a diameter of 8.4 meters, its maximum height is 4.2 meters and its maximum width is 8.4 meters. We need to determine whether the tunnel is large enough to fit a particular truck.

Statement One Alone:

The maximum width of the truck is 2.4 m.

Using the information in statement one, we can determine that the width of the truck (2.4 m) can fit within the tunnel that has a diameter 8.4 m. However, since we do not know the maximum height of the truck, we cannot determine whether it can fit in the tunnel. Statement one alone is not sufficient to answer the question. We can eliminate answer choices A and D.

Statement Two Alone:

The maximum height of the truck is 4 m.

Although we know the maximum height of the truck, without knowing the maximum width of the truck, we cannot determine whether the truck can fit through the tunnel. Statement two alone is not sufficient to answer the question. We can eliminate answer choice B.

Statements One and Two Together:

From the given information and the statements, we know that the width of the tunnel is 8.4 m, the maximum height of the tunnel is 4.2 m, the maximum width of the truck is 2.4 m, and the maximum height of the truck is 4 m. Since we have all of the necessary dimensions of the truck and the tunnel, we have the information to determine whether the truck would fit through the tunnel. Note that it is not necessary to perform the calculations, but the answer is yes, the truck can pass through the tunnel.

Answer: C