Chapter 6 THE D HULK AKA RULK! Review

Chapter 6 THE
D HULK A.K.A. RULK! Review Packet
1.
Find the degree measure of the angle:
2.
Find the degree measure ofthe angle:
;c
13
-i~'
')
.
3. Find the degree measure
4.
r I
01 t Ie
I 3;c
ang e: --.-
16
The measure ofthe angle 2250 in standard position is given. Find two positive angles and two
negative angles that are coterminal with the given angle.
5.
'rile measure of the angle! 20" in standard position is given. Find two positive angles and two
!)1'(HItIV"
angles that are coterminal with the given angle.
6.
The measure of the angle 300" in standard position is given. Find two positive angles and two
negative angles that are coterminal with the given angle,
Find sin a. and ens j3 if x '''''3, and
Find
v = 7.
sin a and cos ,8 if x ::.:= 2, and y .""",,
4.
Find sin a and ens
lJ
if x ""6, and y '''' 1,
10. What is the side labeled x equal to, ifv= 35 and bottom angle is 60 degrees?
y
11. What is the side labeled x equal to, ify
=
25 and bottom angle is 45 degrees?
What is the
labeled x equal !o, iCy"
27 and bottom angle is 50 dezrecs?
Find x correct to one decimal place. Y '" 40
14. Find x correct to one decimal place. Y
z:z:
30
Find
x correct to one decimal place. Y'''' 60
..\'
16. The angie of elevation to the top of 11 particu tar skyscraper in New York is found to be 16° from
the ground at a distance of 1.8 rni from the base of the building. Using this information, find the
height of the skyscraper. Find answer in FEET! I mile = 5280 ft
17. The angle of elevation to the top of a particular skyscraper in New York is found to be 18° from
the ground at a distance 01.'1.5 mi from the base of the building. Using this information, find the
height of the skyscraper. Find answer in FEET! 1 mile
=
5280 ft
The angle of elevation (0 the top ora particular
in New York is found to be ! 3" from
the ground at a distance of 1,6 Ill! from the base of the building, Using this informationfind the
height of the skyscraper. Find answer in FEIn'! J mile
5280 ft
19. A 124 ft tree casts a shadow that is! 52 ft long. What is the angle of elevation of the sun?
20. A 135 ft tree casts a shadow that is !49ft long. What is the angle of elevation of the sun?
21./\ J 19ft tree casts a shadow that is ] 62 ftlong. What is the angle of elevation of the sun?
22. A man is lying on the beach, flying a kite. He holds the end ofthe kite string at ground level, and
estimates tile angle of elevation of the kite to be 64°. If the string is 420 ft long, how high is the
kite above the ground?
A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level, and
estimates the angle of elevation
ofthe
kite to be 58". If the string is 380
n long,
how high is the
kite above the ground')
24. A man is lying on the beach, Hying a kite. lie holds the end of the kite string at ground level, and
estimates the angle of elevation of the kite to be 39°. If the string is 560 ft long, how high is the
kite above the ground?
Find the reference
angle for the angle measuring
861°.
26. Find the reference angle for the angle measuring
783°.
11. Find the reference angle for the angle measuring 934°.
.
27tc
28. Find the reference angle for the angie measunng--.
13
31. Find sc~·2! 5". Jus! use calc for these!
Find csc ···159". Jus! use calc for these!
Find cot -.163°. Just use calc forthese!
340 Find sin 117". Just use calc for these!
35. Find tan 213". Just use calc for these!
36. Find cos 327". Just use calc for these!
Choose the value of the trigonometric function cos 0 using the information:
')
sin
.9 "".:: in OUAD 1
7'-
38. Choose the value of the trigonometric function sin 0 using the information:
cos
'1
4
8 in OUAD
.~
.9:::: •.
39. Choose the value of the trigonometric function tan 0 using the information:
sin ,9 ::::--.~ in OUAD 3
9
~
40. Use the Law of Sines to findx. Let a
trigonometric function tan
= 65, LA = 32.7° LB = 25.3° Choose the value of the
e using the
information:
Lise the Law of Sines to find x. Let a=
trigonometric
//1 '" 3K2" /:11" 35
Choose the value of the
function tan 0 using the information:
42. Use the Law of Sines to find x, Let. a= 82, /~A
,==
24.9°,(1$'''' 3B, 1 Choose the value of the
0
trigonometric function tan () using the information:
43. Use the Law of Sines to solve fix all possible triangles that satisfy a
conditions.
c;;;;
26, b zs: 13, /':::.11 "=109°
44. Use the Law of Sines to solve for all possible triangles that satisfy a = 27, b = 15, LA =1 IS"
conditions.
Use the Law of
conditions.
to solve for all possible triangles that satisfy a
zx:
28, b= 17, />/'=: 122°
46. Use the Law of Cosines to determine side Be if b "" ] 0, c = 15, and /.::',1 o::c 24°.
47 . Use the Law of Cosines to determine side Be if b "= 11, C
=
17, and LA
48. Use the Law of Cosines to determine side Be if b = 12, c
=
19, and '!--A c-:= 28°.
==
26".
Use the Law ofCosines to determine side
decimal places"
A('
if a '"
50. Use the Law of Cosines to determine side Ae if a
decimal places.
C
0;0
32 and /B
xz
28" correct to two
28,
C'"
34 and Lj]";; 32° correct to two
51. Use the Law of Cosines to determine side ,1(' if a= 31,
decimal places.
C'O;
38 and LB;;;;; 39° correct to two
;c;;
52. Two straight roads diverge at an angle of25 degrees. Two cars leave the intersection at 4:30
P.M., one traveling at 55 mi/h, and the other at 45 mi/h. How far apart are the cars at 5:30 P.M.
53. 'rwo straight roads diverge at an angle 01'35 degrees. Two cars leave the intersection at 5:00
P,M" one traveling at 58milh, and the other at 39 mi/h. How far apart are the cars a15:30 P.M.
54. Two straight roads diverge at an angle of 45 degrees. Two cars leave the intersection at 5:30
P.M., one traveling at 3S mi/h, and the other at 63 rni/h. How tar apart are the cars at 7:30 P.M.