# 03faex1 - Math 113 EXAM I Sept 22 2003(50 mm N SWER I For...

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Unformatted text preview: Math 113 EXAM I, Sept. 22, 2003, (50 mm). N SWER I. For the angle 6 shown on the ﬁgure, (15 points) give the exact values of cos 9, sin 0, and tan 6: ‘1 z 7— ~ _ \/ l 11‘QU‘KQdA0‘g‘L/3potme. ’{zLI+D ‘k‘WQr-ll‘lle— L’ 5‘ ( “A; f, 0050 = -—- an 3 V4: W 1+ s'n9 : __L_4_ LL? 1 W. ( MP) tan6 = ( SH 5’ M» 5” With your calculator give approximate values of 9 in degrees and in radians. IQM 9‘ 4' (m’ “(A IN" “AVM¥"‘5*\ I“ (WM- Aiwealb’ladiowko, M1 Aimee 0‘qu MAMM Mbdb - W C Gui Var II. On the ﬁgure [OAI : IOB| (A and B are points on the circle of cgrvlter O) anod M i? \) the midpoint between 0 and A. What is the EXACT value of the angle 0 in degrees and in radians. Do not forget to 'ustz' our answer. (10 points) B III. If the arc AB shown on the ﬁgure has length 4 (units) Evaluate the area of the shaded region. ,QtllaAW/D , what is the radius of the circle? "R Q \$0 Ll: '72: ) Tl— t. o‘vcaoebeclﬁnlzi—WR: Tr?— QTCAO’QIFVW‘aQKI-t : 11R :. "'ﬁ-Ti. TQM buvvx om», OW ‘ \ G 3 ’2. 0mm v-géR/xmlul Farm: E... + FL IV. Given 31116 = 7711, and tanO < 0, evaluate exactly: c050 and tan 6. (15 points) . l5— C0019 +Jaw18=l ,no Cn’oLQZ LL“: ‘ O \$k‘wce, lav-3‘ 94G, \‘m6940 MA Iahezb-ﬂ-Q , wtkmv‘l C07 r £299 ,_ )ra_’§1“;ﬁ;-rl__ M’oae \ll-S: V. (15 points) A bicycle has an unusually big rear wheel of diameter 48 inches. 1) What is the distance traveled, in feet, jor esponding to a rotation of thezwheel of 1 radian? (1 foot 2 12 inches) TIM New M a: raolwo 0e 2- 66 dQV‘aMuil‘Y‘M‘oQAA T— )QQVQ‘V‘MMOW’3\ I T. 2-. I :- - 2) If the bicycle is traveling at a Speed of 1,400 ft per minute what is the angular velocity of the wheel (radians per minute)? F0» QaJA Padﬁa/vx w: M Q 0 ‘ lM 01¢er l“ MIMI” W wae\$v1€ “wee/Q "€20 VMMQMO mwm, 700 510de /‘M\‘V\ 2 VI. From the top of a tower, one sees one end of a football ﬁeld at an angleof depression 'of 60°. The other end, in the same direction, is seen at an angle of depression of 25°. The ’ football ﬁeld is 300 ft long. How tall is the tower? (25 points) Method imposed: Solve this problem with the tools of Chapter 2 (Right Triangles, deﬁnition of sine, cosine and tangent). Dovnot use tools such as the law of Sines or the the law of costnes to be seen in Chapter .9. h: hciqhi oﬁ ’roWCV x = CUSTOth From “rower to h ' begmm rig OF «Cooﬂpo H Had x 500 ‘F‘i'. +0n60°= h _ +Qh2‘50: h . X 5CD+X and Xi‘Gmboc’ ‘ h zoomn25°+ xmn 25°: h Sol 36+ ﬂock/7 equal 10 eochcoﬂncr xtcmeO" -— soomn15°+ xmh 16° x+QthQ°— x'TOh 26“ = 30C) ﬁrms 0 >4 C+onycz>©°ﬁ +0n25°l z 3m“ 15 O x 2 500mm 2‘56 x 1: 110.5 ~Fee+ +on (50 °— moi?” ‘ P 1 ug x back . 1 Mo equ aﬂon h = xton GO 0 e I _ This page IS the Xerox of the 50 h a, l ‘ beautiful paper of a student. h I OF 1» ‘ (But the ﬁgure could be better, for the 60" angle). EL 9 - ...
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03faex1 - Math 113 EXAM I Sept 22 2003(50 mm N SWER I For...

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