Problema Solution
A new department store opens on a hot summer
day. Kathy’s job is to stand outside the main entrance
and hand out a special supplement to incoming
customers. The building is 30 feet tall and
casts a shadow 8 feet wide in front of the store. If
Kathy is 5 feet 6 inches tall, how far away from the
building can she stand and still be in the shade?
Round to the nearest hundredth.
Answer provided by our tutors
Let x = the length of Kathy's shadow
1 in = 1/12 ft
5 ft 6 in = 5 + 6/12 = 5.5 ft
30 : 8 = 5.5 : x
by solving we find
x = 22/15 ft
click here to see the step by step solution of the equation
8 - 22/15 = 98/15 = 6.53 ft
Kathy can stand 6.53 ft away from the building and still be in the shade.