A scale model of a house is 1 foot long. The actual house is 50 feet long. In the model, the window is 1 1/5 inches high. How many feet high is the actual window?
scale = 1 / 50
1 1 / 5 = 1.2
1.2 / ( 1 / 50 ) = 50 * 1.2 = 60 in
1 ft = 12 in
60 in = 5 ft
w/1.2 = 50/1
w = 50(1.2) = 60 inches or 5 ft
5ft
a scale model of house is 1 feet long.the actual house is 50 feet long.in a model,the window is 1 1/5 inch high.how many feet high is the actual window?
To find out how many feet high the actual window is, we can use the scale factor between the model and the actual house.
Given that the scale model is 1 foot long and the actual house is 50 feet long, we can calculate the scale factor as follows:
Scale factor = Actual length / Model length
Scale factor = 50 feet / 1 foot
Scale factor = 50
Now, let's find out the height of the actual window in feet using the scale factor.
Since the window height in the model is given as 1 1/5 inches, we need to convert it to feet before applying the scale factor.
To convert 1 1/5 inches to feet, we need to divide it by 12 inches (since there are 12 inches in a foot) and then convert the resulting decimal to a fraction:
1 1/5 inches = (1 + 1/5) / 12 feet (converting to fraction)
= 6/5 / 12 feet (adding fractions)
= 6/5 x 1/12 feet (multiplying fractions)
= 6/60 feet
= 1/10 feet
Now, we can apply the scale factor:
Actual Window height = Model Window height x Scale factor
= 1/10 feet x 50
= 5 feet
Therefore, the actual window height is 5 feet.