The scale used to build a model of a Boeing 747 is 1:80. Find the actual wingspan of the plane giving the the wingspan of the model was 75 centimeters. Express your answer in meters.
75 * 80 = _____ cm
Divide your answer by 100 to change to meters.
Just kidding! 60m
To find the actual wingspan of the Boeing 747, given the scale and the wingspan of the model, follow these steps:
Step 1: Understand the scale
The scale 1:80 means that every 1 unit on the model corresponds to 80 units in reality. In this case, the units for the wingspan are centimeters.
Step 2: Find the conversion factor
To convert from centimeters to meters, you need to divide by 100 since there are 100 centimeters in a meter.
Step 3: Set up the equation
Let x represent the actual wingspan of the Boeing 747 in meters. We can set up the following proportion using the scale:
1 (model wingspan in centimeters) / 80 (scale factor) = x (actual wingspan in meters) / 1
Step 4: Solve for x
Cross-multiplying the equation, we get:
1 * x = 75 (model wingspan in centimeters) * 1 / 80 (scale factor)
x = (75 * 1) / 80
x = 0.9375 meters
Therefore, the actual wingspan of the Boeing 747 is approximately 0.9375 meters.