Final answer:
The pennate muscle design can produce the greatest forces in the lower extremities during the steep hill climb due to its ability to house more fibers, leading to higher tension generation. Therefore, the correct option is D. Pennate.
Step-by-step explanation:
During the climb up a steep hill, the muscle fiber design that will most likely produce the greatest forces in the lower extremities is D. Pennate. Pennate muscles are characterized by their feather-like structure where the fibers blend into a central tendon, running through the muscle's entire length.
This unique arrangement allows a pennate muscle to house more muscle fibers compared to other types, such as fusiform, strap, or circular muscles, resulting in the capability to produce relatively more tension for its size. While they do not move their tendons very far during contraction, the increased number of fibers translates into greater force production, which is beneficial for activities that require high force generation like climbing a steep hill.