A Boeing 747 jet is approximately 230 ft. long and has a
wingspan of 195 ft. If a scale model of the plane is about
40 cm long, what is the model’s wingspan?
(40cm/230 ft) * 195 ft
To find the model's wingspan, we can set up a proportion using the ratio of the actual wingspan to the actual length of the Boeing 747 jet and the ratio of the model's wingspan to its length.
Let's first convert the lengths to the same unit. Since the given length of the model is in centimeters, let's convert the actual lengths to centimeters as well.
The actual length of the Boeing 747 jet is 230 ft. To convert this to centimeters, we'll use the conversion factor: 1 ft = 30.48 cm.
230 ft x 30.48 cm/ft = 7010.4 cm (rounded to one decimal place)
Similarly, the actual wingspan of the Boeing 747 jet, which is given as 195 ft, can be converted to centimeters:
195 ft x 30.48 cm/ft = 5943.6 cm (rounded to one decimal place)
Now we can set up the proportion:
7010.4 cm (actual wingspan) : 7010.4 cm (actual length) = x cm (model's wingspan) : 40 cm (model's length)
Cross-multiplying, we get:
(7010.4 cm) * (40 cm) = (x cm) * (7010.4 cm)
280416 = x cm * 7010.4 cm
Now, divide both sides of the equation by 7010.4 cm to solve for x, the model's wingspan:
x cm = 280416 / 7010.4
x ≈ 40 cm
Therefore, the model's wingspan is approximately 40 cm.