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Unformatted text preview: Nguyen, Thanh – Homework 3 – Due: Sep 11 2007, 7:00 pm – Inst: D Weathers 1 This printout should have 9 questions. Multiplechoice questions may continue on the next column or page – find all choices before answering. The due time is Central time. 001 (part 1 of 2) 10 points Two sides of a triangle are 11 . 2 cm and 20 . 6 cm, with the included angle 118 ◦ . a) What is the length of the third side? Correct answer: 27 . 6845 cm. Explanation: Basic Concepts: The Law of Cosines states c 2 = a 2 + b 2 2 ab cos C The Law of Sines states sin A a = sin C c Solution a c b A C We are looking for the side opposite the given angle so c = p a 2 + b 2 2 ab cos C 002 (part 2 of 2) 10 points b) What is angle opposite the side 11 . 2 cm? Correct answer: 20 . 9286 ◦ . Explanation: sin A a = sin C c A = arcsin µ a sin C c ¶ keywords: 003 (part 1 of 1) 10 points A high fountain of water is located at the center of a circular pool as in the figure. A student walks around the pool and estimates its circumference to be 69 . 4 m. Next, the student stands at the edge of the pool and uses a protractor to gauge the angle of elevation of the top of the fountain to be 64 . 1 ◦ . How high is the fountain?...
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 Winter '08
 Weathers
 Trigonometry, Pythagorean Theorem, Law Of Cosines, Work, Correct Answer, triangle, tan θ

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