The height of the Empire State Building is 1250 feet tall. Your friend, who is 6 feet 3 inches tall, is standing nearby and casts a shadow that is 33 inches long. What is the length of the shadow of the Empire State Building?

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Answer 1 · 2017-05-31T07:35:36

#6600" inches"=550 " feet"#

We can solve this using a ratio:

#"height of building"/"height of friend"="length of building shadow"/"length of friend shadow"#

Let's put all the heights into inches:

Building #=1250xx12=15000#
Friend #=6xx12+3=75#

Which gives us:

#15000/75=x/33#

#75x=495000#

#x=6600" inches"=550 " feet"#