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?

Height of the mountain

feet.

Height of model

inch

Ratio of model's height to height of mountain

We convert to same units.

Therefore our ratio becomes,

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

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

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl