(Originais Teachy 2023) - Question Medium of Physics

A group of students decides to create a pinhole camera using a large cardboard box and a hole made on the side of the box, with the aim of projecting the image of a building that is 25 meters away. They observe that the projected image of the building inside the pinhole camera has a height of 10 cm. Knowing that the actual height of the building is 20 meters: 1) Calculate the distance from the hole to the bottom of the box (focal distance) to project this image with the mentioned height. 2) If the students decide to increase the size of the projected image to 15 cm in height, maintaining the same distance between the pinhole camera and the building, what should be the new focal distance of the camera? 3) Communicate the results obtained clearly and in detail and relate them to the physical principles behind the pinhole camera and its calculations.