8. The greek mathematician Thales (540
-
546 B.C.) calculated the height of the Great Pyramids in
Egypt by placing a rod at the tip of the pyramid's shadow and using similar triangles.
a.) Why are the triangles similar?
Sirnr\o,(
fu1 0ry /-Q=<,t?
a,1ol
<-/-:'z-l
l$*t fua$,n & s*e',{#
7
b.) Show that the height of the pyramid is 480 feet.
3lz.,:bYP'4'
i''/-/
\l-\
O.)
t
.--7,SSft
u.,
*l
l'd--\[?sD
9. Julia uses the shadow of the flagpole to estimate its height. She stands so that the tip of her
shadow coincides with the tip of the flagpole's shadow as shown. iulia is 5 feet tall. The distance
from the flagpole to Julia is 28 feet and the distance between the tip of the shadows and Julia is 7 feet.
a.) Why are the triangles similar?
4
nf,
( v; ta, 6,tcil e'
G. t--dl
4 r'*1lL::l'r.c'(ne'{
b.) Calculate the height of the flagpole.
.@
jL - 5
qr zq_ K
/x-
/'1
(3s-1
-)
10.
1.1 c/
t/)
1
xF A;
"
i{,{t l- JL, SK *Lff.
FFotff ,.. &JKL -* fuJMK
SlYf;#
a B-rr|,
Jj14
*.,ci^,q\o> fttr_.^.q
@ ..*'l bAv D's Shcr Fr.
--> Js+v\b!
cr<.
S ,,:.rrr
(c,i
f-
)
<o <K
C,n. <rrrr?,
<._
...rls*
<
lv\
-r :- <J
g
iJJkL*zJ;fqk- Ltcr
'J- {l