Shadow problems answer key

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Shadow Problems
Stretching and Shrinking
Shadows
1. What causes shadows?
The
5urn
2. How do shadows change over time?
The e a r f - h ro+af*e5 so the. -Sun a p p e a ^
to
+t> across -hoe sky causing our shadows
3. How does your shadow compare to someone shlorre-fl
else's shadow who is taller than you? Shorter
than you?
The l e n g t h o f my s h a d o w
proportio/ictl to my
height.
fo
is
i
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Why are the triangles belowsimilar?
These imaginary lines are parallel
because t h e sun's rays are parallel.
T7<
stick
Statue of Liberty
shadow
shadow
Not drawn to s«/e
AU
itie.
a n g l e s
are
Hie
sann&.
4.5 ft
A treo casts a 25-foot shadow. At the same time, a 6-foot stick
casts a shadow 4,5 feet long. How tall Is the tree?
2
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FLAGS
How tall is the taller flagpole?
h = 21 f e e f
11
/7 ft
7 ft
6 ft
2 ft
3
PARKS
How far is it from the log
r i A r » ±r\ f h o n i r a t d c1~nr"»?
v,
— 12.
..
^ ^^ vi-¬
^j
11
f I Lf
I 1 1 1 1^
" • 1
1r
CREEKS About how long is the log
that goes across the creeks?
8m
XX
Find the height
CONSTRUCTION
of the brace.
il
1
!!
9 ft
h
7 ft
n
15 ft
H o w deep is the water
62 meters f r o m the shore?
LAKES
p
• 62 m
V 3m
W
—
J - 1D3-3 m
**|
Y
FERRIS WHEELS The Giant Wheel at Cedar Point i n Ohio is one of the tallest
Ferris wheels i n the country at 136 feet tall. If the Giant Wheel casts a
34-foot shadow, write and solve a proportion to find the height of a nearby
man who casts a 1-^-foot shadow.
34
ft
136
3\
BASKETBALL A t 7 feet 2 inches, Margo Dydek is one of the tallest women to
play professional basketball. Her coach, Carolyn Peck, is 6 feet 4 inches tall.
If Ms. Peck casts a shadow that is 4 feet long, about how long w o u l d
Ms. Dydek's shadow be? Round to the nearest tenth.
Y2"
06 - 1 n
1
A child 4— feet tall casts a 6-foot
shadow. A nearby statue casts a
12-foot shadow.
^ ^
12 ft
What is the height of the statue?
A
C 13± ft
8-j ft
4
D
9 ft J
24 ft
A telephone pole casts a 24-foot
shadow. Belinda, who is 5 feet 8 inches
tall, casts a 7-foot shadow.
,5 ft 8 in
24 ft
7ft
Which is closest to the height of the
telephone pole?
3
F 50 ft
H
20
G 40 ft
J
10 ft