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solutions 3

solutions 3 - Patel Kinal Homework 3 Due 7:00 pm Inst D...

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Patel, Kinal – Homework 3 – Due: Sep 11 2007, 7:00 pm – Inst: D Weathers 1 This print-out should have 9 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. The due time is Central time. 001 (part 1 oF 2) 10 points Two sides oF a triangle are 11 . 9 cm and 32 . 5 cm, with the included angle 109 . a) What is the length oF the third side? Correct answer: 38 . 0748 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 . 9 cm? Correct answer: 17 . 1884 . 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 fgure. A student walks around the pool and estimates its circumFerence to be 214 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 55 . 8 . How high is the Fountain?

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solutions 3 - Patel Kinal Homework 3 Due 7:00 pm Inst D...

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