Name:
_
Set up trig ratios that could be used to solve for the variable and solve. Round lengths to nearest tenth
and angles to ne~lrest degree.
2
-l~
3:::-
WI /7
_
•
~
~~~~
I, }c~ 38'::- w
X-=-
W-=--\312>
'i.
-=-
~
=b(:3 5--
c::; l):::-
3 S
(....C/)~.
G ==--
t
~/:;2
.:l -, :JI
24
~
~
~
~-I
6.
4. -----1«/3 L?
X~
(i~/.3l) - X
14
X::.~~
. ~ =-- 0::-/=r:
T; =o
C--
-------{ CiA.... ·tAJ ~
~/U)4 32.-
t 7/J. S-
t~l(
If/,;S)-:'w
:::1. ,
4
~
0-W
. -5
5 +w-. ~ S ~ L..v
_~
,~
)L
~x
~
4-L
-Ifill)
l~·
14
24
=-
1.1-
X=:\
'v
=-/'
C
~
Step 4: Set up equation
Step 5: Solve
Step I: Draw a picture
Step 2: Label picture
Step 3: Pick the best trig ratio
Angle of depression - going down
Angle of elevation - going up
13. Find the acute angles of a right triangle whose legs are 5 and 12.
~
'i~
e=
-h"vt-- ,~::::.
-+ ,~\[.!-!:)
?!J2...
-J()!r 2- ) =- ~
:;(
j~
fc-/1)
•
/2-
.'5-
-~
~. .:::. &- 7
=:- -
14. Mark has two sticks, 25 in. and 20 in. Ifhe places them end to end perpendicularly, what two acute angie
would be formed when he added the hypotenuse?
~S--Z
'd.o/
.","
_ 0(:=
/d 0
- r.;
?-S
'='
C""'-
(::.
0(
~
:1---.
/.J J
V'-'----
t~((:2e.y~r-)::; e
-
(.)
<~-r~~O\:::-') _.9<
::,.39 c
G
CV.::..
5/
C-
15. The base of an isosceles triangle has a length of 16cm. and the vertex angle measures 68°. What is the
length of each leg? Round to the nearest tenth of a em.
,¥
.3~)(
:5 V
=- rjy
-=-
/.
_ ,3 V
/1# B
16. Angie looks up at 25 degrees to see an airplane flying toward her. If the plane is flying at an altitude
of 3.5 miles, how far is it from being directly above Angie?
t'- :l c.;
=:.
],)
V\......
-
3;~
+"
7,
J
l.J
5()~
17. A six foot vertical pole casts a shadow of II feet. What is the angle of elevation with the ground?
.
.t I\.
&J
~
~~
l7
II}
,
~
-IC
1s
~dA".., tI
[)
=-
-=-
8·1 ,lc fP
iJl):::
18. Lauren is at the top of a 15 m lookout tower. From an angle of depression of 25°, she sees Evan coming
toward her. How far is Evan from the base ufthe tower?
L S---
f ~
-(:A~l-)-
/d