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MATH 107 EXAM #1 WINTER 2003 (1.11.4) N lu. l {an s (1) ('8 points) How many degrees are in. the angle formed by rotating the terminal side counterclockwise...
(e) 2 revolutions? (b) g of a revolution? 790 a mm (2) (8 points) Draw an angles having (approximately) the given measures.
(20 16° (b) 160° IX+3§ﬂO r  ' l (4) (8 points) Suppose that 1: and a: +5 are the legs of a right triangle with hypotenuse 25. Use the
Pythagorean theorem to ﬁnd I. Show all work. X5 (M5): .35" 7* (x+2o)(\><~zs‘): 0
KW Wm m; = 52:; Knee) : 5;}. qxlwox ~60o = O
xl+ “3’00 "LT O (5) (8 points) A building casts a shadow of length 128.5 feet at the same time that a 6.0 foot man casts a
shadow of length 8.3 feet. How tall is the building? Draw a and Show all work. ltififei‘e D In: 0:3 I'M
a _ _= h = .3;
lll'vg h: (QM/Nil ’J
,3 {Pu—3° # (ﬁ) (9 points) Give the right—triangle deﬁnitions of the following trigonometric functions. . i” 31116: jfgl‘tha‘b hgp
case: gag/£759 OPP
mu": claw/ad? M»
(7) (8 points) What is the angle of the sun above the horizon if a. person 6 ft. 3 in. tall casts a shadow 9
ft. long? Draw a diagram and Show all work. /
. 2;, ,/
9 z ((9161:. ILCW‘IgBW” H [0? J//, 25;,
r 75 x o "'1
 ~l I ——~. = c (8) (9 points) Solve the triangleshow below. It; avoid the confusion, write your ﬁnal answers in the spaces
provided. Show all work. b: 9.0.” I 6: get i
0: 40° ‘L/ . .... L
[3". I "In HH' .
l9 :1 _***~—— 0": T0. #1 LID } E
(9) (8 points) You are ﬂying a kite "on a. string which is 300 feet long. (Assume the string makes a straight line from you to the kite.) The kite is at a vertical height of 120 feet above the ground. What is the
angle of elevation to the kite? Draw a diagram and show all work. (9: angle when Mu, § {20/309 gw/' ‘
/' IBO 9. (10) (8 points) You are standing atop a 150foot vertical cliff with the ocean below. The angle of depression
to a ship out on the ocean is 6.4”. What is the distance from you to the ship? Draw a diagram and
Show all WOI'k. F!“ (J x I I "JI_(§/ffs;gnéo 1' — _ '._"".—_.—. £9.) : C03 ($3.60} (11) (9 points) Suppose you want to put a fence around your garden which is in the shape of a. right triangle.
If the hypotenuse is 200 feet and one of the angles is 35° how much fencing will you need? Draw a
diagram and show all work. 2 I, o .I 350 / “200’ I . /’/.3'§U ______
o . ies’o...» {35V : /s’ a? ' b V‘.‘__d__,.—._._d,—..._“u:,.___I‘M—R
b . to 122.1%» TW W goo” . .I 2 ’ . . _ i
J : 905‘; ,L xx} 5 t [u (7 l . . r o ' z  i
= on) LﬁJl3J gt: /b7 ' , z
b '7) I} = 9/ 7 ’2 (12) (9 points) To ﬁnd the distance across a canyon, a sui’veﬁ1z locates. two points P and Q on Opposite
sides of the canyon. From point P he locates point R in the direction N 30°E. The surveon then
observes that point Q is 400 meters from point R in the direction S45°E and that angle APQR is a right angle. What is the distance (from P to Q) across the canyon? Draw a. diagram and show all
work. H {PG} : Tm (75")
W20
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 Winter '07
 Zamani
 Math, Trigonometry

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