Final answer:
To frame the moai entirely within the photo, you should stand 8 feet away from the statue since the camera is placed on a 5-foot tripod, the statue is 13-feet tall, and the vertical viewing angle is 90 degrees.
Step-by-step explanation:
To determine how far from the moai you should stand to have the entire statue perfectly framed in the photo, we can use trigonometric principles to solve the problem. Given that the camera's tripod is 5 feet tall and the moai is 13 feet tall, we need to account for the 8 feet of difference in height between the top of the tripod and the top of the moai. Using the camera's 90-degree viewing angle, we can set up a right triangle with the 8 feet difference as the opposite side to the angle at the camera.
Since the viewing angle is 90 degrees, we have a right-angle triangle where the opposite side is equal to the adjacent side. This means that the distance from the camera to the base of the moai (the adjacent side of the triangle) must also be 8 feet. Thus, you should stand 8 feet away from the moai for the entire height of the statue to fit perfectly into the frame.