Question 118263
Let x=length of hotel's shadow


Notice there's a relationship between the height of the object and the length of the shadow. So we have this ratio:



{{{x/90=7/10}}} Notice the shadow lengths are the numerators and the denominators are the objects heights.



{{{x=(7/10)*90}}} Multiply both sides by 90



{{{x=630/10}}} Multiply



{{{x=63}}} Simplify




So our answer is  {{{x=63}}} 



So the length of the hotel's shadow is 63 ft.