An engineer created a scale drawing of a footbridge. The height of the actual footbridge is 10 feet (ft), and the length is 44 feet. The footbridge in the scale drawing is inches (in.) in length. Find the scale the engineer uses for the scale drawing. Then determine the height of the footbridge in the scale drawing.
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you left out the drawing size
A model of a house is 10 centimeters long. The actual length of the house is 8.5 meters.
Which of these options is the scale that is used for the model house?
I don't get it.
To find the scale the engineer uses for the scale drawing, you need to compare the length of the actual footbridge to the length of the footbridge in the scale drawing.
Length of the actual footbridge: 44 feet (ft)
Length of the footbridge in the scale drawing: ___ inches (in)
To convert the length of the actual footbridge from feet to inches, we know that 1 foot is equal to 12 inches. Therefore, we can multiply the length of the actual footbridge by 12 to get the length in inches:
44 ft * 12 in/1 ft = 528 inches
So, the length of the footbridge in the scale drawing is 528 inches.
Now, to find the scale used by the engineer, we divide the length of the footbridge in the scale drawing by the actual length of the footbridge:
Scale = Length in the scale drawing / Actual length
Scale = 528 inches / 44 feet
To simplify this ratio, we must convert the units to a common one. Since 1 foot is equal to 12 inches, we can convert the actual length to inches:
Actual length = 44 ft * 12 in/1 ft = 528 inches
Now the units match, and we can calculate the scale:
Scale = 528 inches / 528 inches = 1
Therefore, the engineer uses a scale of 1:1 for the scale drawing.
To determine the height of the footbridge in the scale drawing, we can use the scale. Since the scale is 1:1, the height of the footbridge in the scale drawing will also be 10 feet.
So, the height of the footbridge in the scale drawing is 10 feet.