Geometry A Name Similar Triangles Word Problems 1 A

geometry a name: similar triangles: word problems 1. a statue, honoring ray hnatyshyn (1934–2002), can be found on spadi

Geometry A Name:
Similar Triangles: Word Problems
1.
A statue, honoring Ray Hnatyshyn (1934–2002), can be found on
Spadina Crescent East, near the University Bridge in Saskatoon.
Use the information below to determine the unknown height of the
statue.

2.
A tree 24 feet tall casts a shadow 12 feet long. Brad is 6 feet
tall. How long is Brad's shadow? (draw a diagram and solve)
3.
Triangles EFG and QRS are similar. The length of the sides of EFG
are 144, 128, and 112. The length of the smallest side of QRS is
280, what is the length of the longest side of QRS? (draw a
diagram and solve)
4.
A 40-foot flagpole casts a 25-foot shadow. Find the shadow cast by
a nearby building 200 feet tall. (draw a diagram and solve)
5.
A girl 160 cm tall, stands 360 cm from a lamp post at
night. Her shadow from the light is 90 cm long. How high is the
lamp post?

160 cm
90 cm
360 cm
6.
A tower casts a shadow 7 m long. A vertical stick casts a shadow
0.6 m long. If the stick is 1.2 m high, how high is the tower?
(draw a diagram and solve)
7.
Triangles IJK and TUV are similar. The lengths of the sides of IJK
are 40, 50, and 24. The length of the longest side of TUV is 275,
what is the perimeter of TUV? (draw a diagram and solve)
8.
A tree with a height of 4m casts a shadow 15 m long on the ground.
How high is another tree that casts a shadow which is 20 m long?
(draw a diagram and solve)
9.
A statue of George Washington is also in Druid Hill Park. If a
girl stands 15 m away from the statue, and places a mirror 12 m
from the statue (3 m from her feet), she can see the top of the
statue in the mirror. The girl’s height is 5.5 ft. How tall is the
statue? (draw a diagram and solve)
10.
The sides of a triangle measure 3 cm, 5 cm, and 6 cm. If the side
of a similar triangle corresponding to 3 cm measures 8 cm,
a) draw a diagram, then determine the lengths of the other sides
b) determine the ratio of the perimeter of the smaller triangle to the
perimeter of the larger triangle
11.
Triangles CDE and NOP are similar. The lengths of CD and NO are 53
in and 212in, respectively. DE is 106 in long and NP is 318 in.
(draw a diagram and then answer the questions below)
a) Find OP and CE.
b) What is the perimeter of NOP?
c) What is the perimeter of CDE?
d) What is the ratio between the two perimeters?
12. Two extension ladders are leaning at the same angle against a
vertical wall. The 3-m ladder reaches 2.4 m up the wall. How much
farther up the wall does the 8-m ladder reach? (draw a diagram and
solve)