Final answer:
To draw a building at a scale of 1 inch : 150 ft with an actual height of 750 feet, you set up a proportion and solve to find that the building should be drawn at 5 inches tall.
Step-by-step explanation:
The student has asked to draw a building using a scale of 1 inch : 150 ft, where the actual height of the building is 750 feet. To find the height of the building on the drawing, we must set up a proportion based on the scale given.
First, we write the unit scale as a ratio comparing the scale to the actual size:
1 inch / 150 feet
Next, we use this ratio to calculate the scaled height of the building:
x inches / 750 feet
We then cross multiply to solve for x:
1 inch * 750 feet = 150 feet * x inches
After simplification, we find that:
x = 750 feet / 150 feet
Therefore:
x = 5 inches
So, the drawing of the building should be 5 inches tall to accurately represent the actual height of the building which is 750 feet.