A scale model house is 1 ft long. The actual house is 50 ft of a 14. long. In the model, the window is 15 in. high. How many feet high is the actual window?

Question

Hazel Anglin · Accepted Answer

#color(brown)("The question is not clear. ")#

#color(brown)("Demonstrates the method - the numbers I chose must be wrong")# Let the actual height of the window be #h_w# Using ratio in fractional form: #("actual length")/("scale length")" "->" "50/1" "-=" "(h_w" inches")/(15" inches")# Where #-=# means 'equivalent to. Multiply both sides by #color(red)(15)# #color(green)(50/1color(red)(xx15)" "=" "h_w/15 color(red)(xx15))# #50xx15" "=" "h_wxx15/15# but #15/15# is the same as the value 1 giving #h_w" "=" "50xx15" "=" "750" inches"# #h_w" "=" "750/12" feet "=" "62 1/2" feet"#

Savannah Anderson · Answer

undefined To find the height of the actual window, you need to use the scale factor between the model and the actual house. Since the scale model house is 1 foot long and the actual house is 50 feet long, the scale factor is 50:1.

To find the height of the actual window, multiply the height of the window in the model by the scale factor:

15 inches * (50/1) = 750 inches

Since there are 12 inches in a foot, divide 750 inches by 12 to convert to feet:

750 inches ÷ 12 = 62.5 feet

So, the actual window is 62.5 feet high.