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Unformatted text preview: “8 S l' caCumch; thud Name: due September 19, 2011 MAC1114 002 003 005
Worksheet 1B (circle your section number) Read and follow all directions carefully. Include as much relevant work as possible to ensure maximum credit. (10 pts) l. Solve for 9 . Assume all angles are acute. a) sec6=csc33° E94 753“ : qoo % 9: S? o 6
a59—
.. ° 6,, a
b) cot(99—5°)=tan(79+15o) ‘19 '5 + '79 +16 «m o
T mg'iloﬁqoo b)_5_
[40° go“ [65906
' ° 90'
(98) [9:50) : 1?: so
c) cos9= 01100
CSC
wig); .1, (VEC1PYKAQ (batik)
“Sammy we Que“ me“ $940“ (6 pts) 2. Given the right triangle with side lengths labeled as shown, compute the following trig function values. (Your
answers will be fractions in terms of a, b, and c.) k 9:.
.33 .=_ see9=__m9.._
OPP b ‘ m1,
da add 9:.
c 9 (Li; ... Gabe): sin(90°6)= C (8 pts) 3. a) State a positive angle in the foliowing quadrants that has a reference angle of 80°. \oo"
{so'uso' Q2: 100 °
l80°+80° Q3: QQQ °
mo" 300'
%M°—go ‘ Q4: 3 80 °
«mo! 190°
b) What is the reference angle for 210° ?
9
b) 30
Mgrmet. owuolu : 4&0: ‘
a \
0‘2 a; (,qo‘ Mo. 3‘” ' 3‘0 has M 62:.) 30° atom 4L9. Mythe page (12 pts) 4. Compute the exact value for the following expressions. Radicals should be simpliﬁed but not approximated.
a) lﬁsin3 60° — 4tan 120°
, O 2; My gig.)  u we 804‘. 5“
. 5
=3 sv£60°=(§) ‘ “imw‘i ~. 22th + HE
_ .55 =J'? ~. coJ’iwﬁzloJ'?
‘3'
b) 6cos315°+88in 270°
c0535“ sitsmoo 66%) 4. 864) b) 3J5»?
= cos‘lS“
 I: (0).” = a 8
'2. 370°
V .. “J. ..
'F " I E i
(6 pts) 5. Find all angles 6 between 0° and 360° such that Sine = —§.
ireEmu; Mu For slate: 15 is 30°. Ans; mo“; 330°
SW6 is We!“ in Q3 amll Gm.
623. e: l%0°+5o° == glob
C?” ‘ 6‘. 360° " 30' ; 3'30 ‘
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$3
)ta1122°52" :40,“ (“33+ 3600 :Qﬁoquw a) 0.116Ll3
g? .
. O b “g. 9‘ q
i b)sec665 .. £05668; 2.SOQ%H... b) 3
a“ '3 '
«a c)4cos320°+75 .—. u (comm) +15 = “18.3mm . .. c) '79, m: (6 pts) 7. Find the acute angle 6 , given that the following are true. Express each answer to the nearest tenth of a degree. a)tan6=2.38 9:. 4mm" (33%): Co'7."10‘i.. 20M; . .. .L
b)csc0=3 e§ 3M9: is; =§ Q: 5{“l(3>= MAD?” b) [clSe degree. M650. (9 pts) 8. Solve the following right triangle, given that b = 35 and B = 51° . Fihd sides to the nearest whole number. B
Q) 9. qo°—B  qo°~et° = 3a” a=—————39’
a 4. 4 “qu
c a ® I“: mﬁtganb ME A: 3qo
A C or.“— BSlw'SQ"
b a: as c°=alttﬁ 6) £1: 5me =3 basalt on
02319439; 3 "3.—. (4 pts) 9. If the angle of elevation ﬁ'om point A to point B is 30° , what is the angle of depression from point B to point A?
Draw an appropriate picture and clearly label both angles.
6
AnsL 8 Thu. Mn at stunt; PM o t s is “u.
"We SW 0.5. UN. mic or Aipretsim W
B J“, A (crueer some Mm) . (10 pts) IO. From a window 5t] feet above the ground, the angle of elevation to the top of the building across the street is 40° and the angle of depression to the bottom of the building across the street is 20° . Assume the buildings are on level
ground and compute the height of the building across the street. (nearest foot) betgl'rl cc buiwt'nj n? 115' ‘
is y+60 A' 6“ aim :0“ =9 80: xmiao" O
“If3;; '» [3") ft €52.
x 5:7: Mllwg y: 894%..‘16"
y = NS“.
height .t 5:2de is
Us a So : I65 9+, (6 pts) 11. A plane ﬂies 100 miles due north and makes a stop. From that location the plane flies another 60 miles due
west to its ﬁnal destination. If instead the plane had flown directly from the starting point to the ﬁnal destination, on what “due north” bearing angle 9 would it have flown? Find 9 to the nearest degree. Ans: 3 a (14 pts) 12. Flagstaff, AZ. is about 450 miles due south of Salt Lake City. A plane leaves Salt Lake City atll pm and ﬂies
at a speed of 100 miles per hour on a “due north” bearing of 160°. At what time of day (nearest Eminutes) W1 the plane be: H“
a) closest to Flagstaff?
a) 6 °' Pm
L t C 05 30 0
H60 4\\ a dls‘l'jrte. a H30 Min 4‘ HQ hrs
N lOOmph Helm: Llle ram;
lpmtLllwslo Moss? SHOPH b) due east of Flagstaff?
K tam
,5; = sec 20"
X = “.50 secao": “59" “A H80 miles Cos 20" ‘ .. dislashes _ H90 Ma“ Q
“LIN  W  Md“ [lug [M’s 11.? his ‘rt [liars Llﬁ’m‘m \pm 4 H hvscso W't‘lM ‘' 5:501:54 ...
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This note was uploaded on 11/16/2011 for the course MAC 1114 taught by Professor Cohen during the Fall '09 term at Santa Fe College.
 Fall '09
 COHEN
 Trigonometry

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