Final answer:
The height of a house with a sloped roof can be determined by using the slope information and the house's dimensions. Additional information such as the height of the walls is required to conclude if the overall structure will be under 35 feet. Scale models and proportions are used to find actual heights from model measurements.
Step-by-step explanation:
The student's question seems to be concerned with calculating the height of a house that includes a pitched roof with a known slope. The roof slope is given as rising 10 inches for each foot of horizontal run. To determine if the house can be built under 35 feet in height, we would need additional information, such as the height of the walls and the dimensions of the house's footprint. However, assuming that the question refers to the roof specifically, one would need to calculate the rise of the roof using the known slope and dimensions of the house footprint. This information has not been provided directly, but we do know that the area of solar panels required for such a house is much smaller than the typical house footprint, indicating that the house footprint is likely substantial.
If the student is dealing with a scale model given the parameters "x=42", the actual height of the building can be determined by setting up a proportion 1.5 inches/10 feet = 42 inches/x feet and then cross-multiplying to solve for 'x', which represents the height in feet. This mathematical procedure would give us the height of the building that the scale model represents. This process is relevant when considering the key concept that scale models are proportional to the objects they represent.