Write a proportion. Then solve.
- An 8-foot electricity pole casts a
12-foot shadow. At the same time,
Ruth Ann casts a 9-foot shadow.
How tall is Ruth Ann? - Similar triangular sails are raised
on two sailboats. If the larger sail is
5 m wide and 10 m high and the
smaller sail is 6 m high, how wide
is the smaller sail? - A 6-ft-tall person casts a shadow 15 ft
long. At the same time, a nearby tower
casts a shadow 100 ft long. Find the
height of the tower. - A mailbox that is 1 meter tall casts
a shadow 4 meters long, while a
lamppost casts a shadow 24 meters
long. How tall is the lamppost? - A triangular sail has sides of 10 ft,
24 ft, and 26 ft. If the shortest side of
a similar sail measures 6 ft, what is
the measure of its longest side? - A surveyor determines the width of a
river by setting up similar triangles as
shown in the given figure.
AECBEDwith AC89.5 ft,
CE20 ft, and DE80 ft. What is
the width of the river BD?
4. What is the height of a vertical pole
that casts a shadow 8 ft long at the
same time that a 12-ft-high vertical
pole casts a shadow 3 ft long?
6. A lamppost is 6.5 meters high. Next
to it, a 1.2-meter-high mailbox casts
a shadow 4.8 meters long. How long
is the shadow of the lamppost?
8. The heights of two signal poles are
20 feet and 30 feet, respectively. If the
shorter pole casts a shadow of 8 feet,
how long is the taller pole’s shadow?
10.On the school softball team, there
are 3 boys for every 4 girls. If the
team has 21 members, how may
boys does it have? how many girls?
11.A football team has 6 players who
play offense for every 5 who play
defense. There are 33 players on the
team. How many players play offense?
how many play defense?
F
S
w
6 m
B
F
10 m
XR5 m
8 ft
12 ft 9 ft
h
A
E
C
DB
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