The surface area of the net of the triangular prism can be calculated by finding the area of each face and adding them together.
The front triangular face area = 0.5 * base * height = 0.5 * 16 * 15 = 120 square meters
The rectangular face area = width * height = 11 * 15 = 165 square meters
There are two triangular faces and three rectangular faces in the net.
Total surface area = 2(front triangular face) + 3(rectangular face)
Total surface area = 2(120) + 3(165)
Total surface area = 240 + 495
Total surface area = 735 square meters
Therefore, the closest option is 779 square meters.