--"'fl
Name
Per
Date
_
Chapter 4 Pre-Test Review
1.
Find the value of the variable in the triangles below. Give an exact answer and a decimal
approximation.
13
x
9
x
12
10
2.
Given the area of the triangles below, find the length of the hypotenuse.
2
Area: 30 cm2
Area: 60in
Scm
lSin
3.
Find the area of the squares below.
Name
Per
Date
4.
Find the area of an equilateral
5.
Determine
whether
the following
determine
whether
the triangle is right, obtuse, or acute.
6,5,9
6.
_
triangle with a side length of 10 inches.
side lengths could be those of triangle.
5,13,12
If they can,
7,8,15
8,9,10
Find the distance between the points (4, 5) and (-5, -2) on a coordinate
grid. Give an exact
answer.
7.
A plane leaves the airport and flies SO miles east, then flies 200 miles south. Approximately
how many miles is the plane from the airport?
s.
A 50 foot rope is stretched
Round your answer to the nearest mile.
from the tip of a tree to the ground. The rope is tied to the ground
30 feet from the tree. How tall is the tree?
9.
Find the value of each trig ratio.
sin X
taa
C
cos zl
17
A
.. ~
8·
C
::;
.~5
B
x
~-------~-----------------~/
,~.---------------------------/
Name
Per
Date
_
11. Find the measure of the indicated angle to the nearest degree.
31
12. Find the missing side. Round to the nearest tenth.
~
19
56' .
x
13. John wants to measure the height of a tree. He walks exactly 100 feet from
the base of the tree and looks up. The anglefrom the ground to the top of the tree is
330. How tall is the tree?
14. A jet airplane begins a steady climb of 15° and flies for two miles. What is the change in altitude
in feet?
15. A ladder leaning against the side of a house forms an angle of 65° with the ground. The foot of
the ladder is 8 feet from the building. Find the length of the ladder to the nearest foot.
16. Jamal says that the cosine ratio of a right triangle is 1.2. Without
seeing the triangle, explain how
you know that Jamal made a mistake in setting up the cosine ratio.
Name
Per
Date
_
17. Find the missing side lengths. Leave your answer in simplest radical form.
x
.
r
\i
5-5'
-
"'
12
~
v
60' •
~
x
u
45'
"%7.
~
-
.
.
v
.
'j(/
18. The length of each altitude of an equilateral triangle is 6. What is the length of each side ofthe
triangle?
19. The length of each altitude of an equilateral triangle is 4.5, find the perimeter of the triangle.
20. The perimeter of an equilateral triangle is 15\1'3, find the length of each altitude.
Name
OJoSWfX
K-og
Per
Date
_
Chapter 4 Pre-Test Review
1.
Find the value of the variable in the triangles below. Give an exact answer and a decimal
approximation.
13
x
9
x
p
f/5Vo
p~ \t5.B
10
X== (pJ2
12
'/. ~
2.
c;
Given the area of the triangles below, find the length of the hypotenuse.
(BjP()+~~
[ ~'f?OteN\I.l'.,t
~~ \~c.YY\ r
1Sin
C;
'3':<+-IS~=C'l.
cO ~q .:=. C~
c.
b::;./~
n; ()clrle <;]
Area: 60 in
Scm
V=¥
i,,>
2
2
Area: 30 cm
3.
"66
52. +-
(;l?-;:
t,:;).
ll.Dct ::: C2
E3 '=~l
Find the area of the squares below.
Ul ;;~l
_m,
Name
Per
Date
4.
Find the area of an equilateral
5.
Determine
whether
the following
determine
whether
the triangle is right, obtuse, or acute.
6, 5,9
_
triangle with a side length of 10 inches.
side lengths could be those of triangle.
5,13,12
If they can,
7,8,15
8,9,10
01G\
-tY\ Qn~\(...,
6.
Find the distance between the points (4, 5) and (-5, -2) on a coordinate
(l-L <
answer.
')
~ I +- tiC( ~ X '2
( -'7/~)
7.
C1 Z- t 1 Z-= ~7-
S()z: X £.c-::\
-J\~
X ~\j
D z: )(
r.-:-=I?D
'1
A plane leaves the airport and flies 80 miles east, then flies 200 miles south. Approximately.
how many miles is the plane from the airport?
GIS
Round your answer to the nearest mile.
~t?-+'Zct?--;)(<-
"~zoo
8.
grid. Give an ~exact
IY\~
A 50 foot rope is stretched from the tip of a tree to the ground. The rope is tied to the ground
30 feet from the tree. How tall is the tree?
9.
Find the value of each trig ratio.
3b
sin X
tan
C
cos Z
cv
..•.
C
~.
B
.\l
~
I~/50
~
~--------------------~=-----------------------~------------------------~
/
=-=.
Name
Per
Date
_
11. Find the measure of the indicated angle to the nearest degree.
l'()Y\ ( ~):::
~
31
n
\C\Y\\l~)®
12. Find the missing side. Round to the nearest tenth.
5inL4~);:: l~/;y..
"Sk)
CDS(&,q)~ ~
(?"')?~
~~:}
;YA?C ~:
cEr;-~ 0~0 (£L.J)
13. John wants to measure
n··'
the height
of a tree.
He walks
the base of the tree and looks up. The angle from
33°. How tall is the tree?
1-
()
100 feet from
exactly
the ground
to the top of the tree is
,"'/--
\O\y) (53)
~iDo
ctYuC5\A;\-
t.o'?-Pat
,
iDCo
14. A jet airplane begins a steady climb of 15° and flies for two miles. What is the change in altitude
,('),~r
o~ e9--X
in feet?
I)L
'5i" (IS)
<::::-'D-;:-I0
~~
J~
15. A ladder leaning against the side of a house forms an angle of 65° with the ground. The foot of
the ladder is 8 feet from the building. Find the length of the ladder to the nearest foot.
IPSa.
'I
16. Jamal says that the cosine ratio of a right triangle is 1.2. Without
seeing the triangle, explain how
you know that Jamal made a mistake in setting up the cosine ratio.
Name
Per
Date
_
17. Find the missing side lengths. Leave your answer in simplest radical form.
X ::: ~.[2
<J-
j
45"
y
~
j~6./Q
d
s,/6
3
18. The length of each altitude of an equilateral triangle is 6. What is the length of each side of the
triangle?
19. The length of each altitude of an equilateral triangle is 4.5, find the perimeter of the triangle.
4·~~~f3
-(7 G
l--:J.. c;-q~~t
20. The perimeter of an equilateral triangle is lSv8, find the length of each altitude.
~::.
;t <J3 ..J3
X ~ ;)...r:;- 3
~-;..l.~