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?

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Answer 1 · 2017-06-12T18:46:52

#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"#