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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 "TPQ—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’.
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$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‘
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We. I aHﬂMV‘ M‘lschVthlertéeY: A+D=8
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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"
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olwlfoMa. \oeVWEc—vx OlOMMMo : lABl: leelad" ‘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)
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This note was uploaded on 08/08/2008 for the course MATH 113 taught by Professor Rosay during the Spring '07 term at University of Wisconsin.
 Spring '07
 ROSAY
 Trigonometry

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