Mt. Hood's peak reaches 11,240 feet high. A model of the mountain is 60 inches tall. What is the ratio of the height of the model to the height of the actual mountain?

Respuesta :

Height of the mountain


[tex]=11,240[/tex] feet.



Height of model


[tex]=60[/tex] inch



Ratio of model's height to height of mountain



[tex]=60\:inch 11,240\:ft[/tex]


We convert to same units.

[tex]1\:foot=12\:inch[/tex]




[tex]\Rightarrow 5\:ft=60\:inch[/tex]



Therefore our ratio becomes,


[tex]=5ft :11,240ft[/tex]



We can now divide each term in the ratio by 5 to get,

[tex]1:2248[/tex]



Therefore there ratio of the model's height to that of mountain is


[tex]1:2248[/tex]