Multi-Part
Lesson
1
PART
B
NAME ________________________________________ DATE _____________ PERIOD _____
Problem-Solving Practice
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Similar Polygons
1. JOURNALISM The editor of the school
newspaper must reduce the size of a
graph to fit in one column. The original
graph is 2 inches by 2 inches, and the
scale factor from the original to the
reduced graph is 8:3. Find the
dimensions of the graph as it will
appear in one column of the newspaper.
2. PHOTOCOPIES Lydia plans to use a
photocopy machine to increase the size
of a small chart that she has made as
part of her science project. The original
chart is 4 inches by 5 inches. If she uses
a scale factor of 5:11, will the chart fit
1
on a sheet of paper 8 −
inches by 11
2
inches? Explain.
3. MICROCHIPS The image of a microchip
in a projection microscope measures
8 inches by 10 inches. The width of
the actual chip is 4 millimeters. How
long is the chip?
4. PROJECTIONS A drawing on a
transparency is 11.25 centimeters wide
by 23.5 centimeters tall. The width of
the image of the drawing projected onto
a screen is 2.7 meters. How tall is the
drawing on the screen?
5. GEOMETRY Polygon ABCD is similar to
polygon FGHI. Each side of polygon
1
ABCD is 3 −
times longer than the
6. KITES A toy company produces two kites
whose shapes are geometrically similar.
Find the length of the missing side of
the smaller kite.
4
corresponding side of polygon FGHI.
Find the perimeter of polygon ABCD.
25 in.
25 in.
$
x in.
#
30 in.
30 in.
22.5 in.
(
2 in. )
3 in.
"
5 in.
'
3 in.
*
%
Course 3 • Triangles and Transformations
19
Multi-Part
Lesson
1
PART
D
NAME ________________________________________ DATE _____________ PERIOD _____
Problem-Solving Practice
Indirect Measurement
1. HEIGHT Eduardo is 6 feet tall and casts
a 12-foot shadow. At the same time,
Diane casts an 11-foot shadow. How tall
is Diane?
2. LIGHTING If a 25-foot-tall house casts a
75-foot shadow at the same time that a
streetlight casts a 60-foot shadow, how
tall is the streetlight?
1
feet tall and casts
3. FLAGPOLE Lena is 5 −
4. LANDMARKS A woman who is 5 feet
5 inches tall is standing near the
Space Needle in Seattle, Washington.
She casts a 13-inch shadow at the same
time that the Space Needle casts a
121-foot shadow. How tall is the Space
Needle?
2
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
an 8-foot shadow. At the same time, a
flagpole casts a 48-foot shadow. How
tall is the flagpole?
5. NATIONAL MONUMENTS A 42-foot
flagpole near the Washington
Monument casts a shadow that is
14 feet long. At the same time, the
Washington Monument casts a shadow
that is 185 feet long. How tall is the
Washington Monument?
6. ACCESSIBILITY A ramp slopes upward
from the sidewalk to the entrance of a
building at a constant incline. If the
ramp is 2 feet high when it is 5 feet
from the sidewalk, how high is the
ramp when it is 7 feet from the
sidewalk?
2 ft
5 ft
Course 3 • Triangles and Transformations
25
Multi-Part
Lesson
1
PART
E
NAME ________________________________________ DATE _____________ PERIOD _____
Problem-Solving Practice
The Tangent Ratio
1. LADDER The foot of a ladder is 4 feet
from the base of a house. The ladder
makes a 72° angle with the ground.
How high up on the house is the top of
the ladder resting? Round to the
nearest tenth of a foot.
2. BUILDING Brenda is standing 31 feet
from the base of a building. She is
looking at the top at a 62° angle of
elevation. How tall is the building?
Round to the nearest tenth of a foot.
3. SKIING The base of a ski jump ramp is
7 meters long. The ramp is 2 meters
high. What is the angle of inclination
for the ramp? Round to the nearest
tenth of a degree.
4. HAMSTERS Corky is building a small
runway for his pet hamster Cecil. The
runway is shown below. How high is it?
Round to the nearest tenth of a
centimeter.
way
Run
20°
30 cm
Run
way
6. SQUIRRELS Jay spotted a squirrel sitting
at the top of a 25 foot flagpole. Jay
knows that he is standing 10 feet from
the pole. Find the angle of elevation for
Jay’s sight. Round to the nearest tenth
of a degree.
7. MAGIC Minnie the magician has a dog in her act that climbs the ramp shown. How
high is the ramp? Round to the nearest tenth of a foot.
h ft
30°
6 ft
30
Course 3 • Triangles and Transformations
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
5. BOATING Cletus is in his boat when he
spots Delilah on a hill. The boat is
40 yards from the base of the hill.
He is looking at Delilah at a 52° angle
of elevation. How high is the hill?
Round to the nearest tenth of a yard.
h cm