A person 6 feet tall casts a shadow 4 feet long. At the same time, a nearby tower casts a shadow 32 feet long. How many feet are in the height of the tower?

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May 23, 2016

Answer:

The height of the building is 48 feet

Explanation:

We can solve this by setting up a ratio comparing the height of the building to the height of the man and shadow of the building to the shadow of the man.

#h_b =# height of the building
#s_b =# shadow of the building
#h_m =# height of the man
#s_m =# shadow of the man

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#h_b/s_b = h_m/s_m#

# (?ft)/(32ft) = (6ft)/(4ft)#

# (?ft)/cancel(32ft) xcancel(32 ft) = (6ft)/(4cancel(ft)) x 32cancel(ft)#

# ?ft = 6ft x 8#

#h_b = 48 ft#

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