113-rosay-06fa01-v2-key

113-rosay-06fa01-v2-key - Math 113 EXAM 1, Oct. 4, 2006,...

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Unformatted text preview: Math 113 EXAM 1, Oct. 4, 2006, ('50 minutes). NAME: 1 SECTION : Instructor: To RECEIVE CREDITFOR AN ANSWER, YOU MUST SHOW WORK JUSTIFYING THAT ANSWER. I. (NO CALCULATOR) B ' (15 points) - b A u c. 4““ 6 "T-PQ—qw—é A Give the value of tanfl,’ in terms of h, by using the right triangle ADB. (: 0 P? 0.41“ Give another expression of tan 6, again in terms of h, by using the right. triangle BDC’. LDBC: Tr/L..LAF5'D [LABC‘wav~‘31~VcAM3€L\ 6‘: L DAB :. fill-LAQ‘D ADS) _'A z”? $0 4138cch . ( wa- II. (NO CALCULATOR) Given c056 = i and tanG < 0, give the exact values of sin6 and tan 0. ‘ S. (20 pOints) \ . ~2.'.. Cy?9*lbw3’8:\ 01;er Aw 9- ‘6 A“; (9 4o lbulaz. rmew ch CW>6>O .V III. (NO CALCULATOR) I (15 points) Convert to radians: u“. radio/vs If a sector of a Circle, bounded by a central angle of 36°, has an area of 10 sqft, What is the radius of the circle? IV. (30 points) 2) Assume that the graphs shown below (a) (b) are the graphs of functions of the type 3; = Acos(B:c + C') + D, with A > O, B > 0, O S C’ < 271’. In each case, the data that are provided allow you to determine some of the quantities A, B, C' and D. For each of the graphs, say which of the quantities A, B, C' and D can be evaluated and give their values. (09 \1 0 an 71‘ PewoA 311‘: 3:11: 60 a: g: B 3 MCM‘MWM £134“ a}- x: o ,Vakwuré M9 aceww‘c‘ A70 ‘ TQM/w {a MOV' WW3 Q,\ g \A {mMah‘oA We. I aHflMV‘ M‘lschVthlertéeY: A+D=8 mchx‘MQW V02“ 0997: .. A+D 2: O 9.11" -—_2.—__. paw» ’77": 7g '5‘” B“ 7 C Cowwxov ‘9‘ efu“A ‘ ace)! {.— Air-D: o} (Owgvél‘vjw valm\ 3 I . “manlg, V. Two observers are on the same ine om e base of a flagpole (on horizontal ground). One of them sees the top of the flagpole at an angle of elevation of 25°, the other one'sees it at an angle of elevation of 50°. The observer the further away from the flagpole is at a distance of 100 yards from the base of the flagpole. What is the distance between the two observers? - (25 points) \‘om 25° 50. \P’Cl‘ ‘00 maso" \‘w 1-5.0 .. -- 0 olwlfoMa. \oeVWEc—vx OlOMMM-o : lABl: lee-lad" ‘00 lo NASD" x; 60.87! Havel/A VI. If the window at the 31“ floor of a buiding is seen at an angle of elevation of 60", at which angle of elevation is seen a window below at the 16“ floor? (Ground floor is 1“ floor, not 0, and of course assume that all floors have the same height.) (15 points) ' C- l . Q \r o oboe/Mu Nova“ mm Pf "(VOUVHQ % 50 J‘ wJ" a» e \6“ MW e fixb‘éweuw c a \" Moor TQM»; ouxc ls Haber“ 61““ M 1)” Hours (Baum MAW“? l” 60%!) go \A El: \%C\ : -lAQ-‘JC . A ...
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113-rosay-06fa01-v2-key - Math 113 EXAM 1, Oct. 4, 2006,...

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