On a scale drawing, a building is 5 1/2 inches tall. If the scale of the drawing is 1 in. : 8 ft, how tall is the building?
trash
5 1/2 in * 8ft/in = 44 ft
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To find the height of the building, we need to convert the height on the scale drawing to the actual height.
Given:
Height on scale drawing = 5 1/2 inches
Scale of drawing = 1 in. : 8 ft
To convert the height on the scale drawing to the actual height, we can set up a proportion. We know that 1 inch on the scale drawing represents 8 feet in reality.
Let's set up the proportion:
1 inch (scale) : 8 feet (actual) = 5 1/2 inches (scale) : x (actual)
To solve for x, we can cross-multiply and then divide:
1 inch * x (actual) = 5 1/2 inches * 8 feet
x (actual) = (5 1/2 inches * 8 feet) / 1 inch
To simplify the calculation, we can convert 5 1/2 inches to a fraction:
5 1/2 inches = (11/2) inches
Now, let's substitute the values into the equation:
x (actual) = ((11/2) inches * 8 feet) / 1 inch
To simplify the calculation further, we can convert the units:
x (actual) = (11/2) * 8
x (actual) = 88/2
x (actual) = 44 feet
Therefore, the building is 44 feet tall.