Quiz 3 Solutions - schroeder (cs39963) Quiz 3: Trigonometry...

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Unformatted text preview: schroeder (cs39963) Quiz 3: Trigonometry and Vectors balasubramanya (1401310) 1 This print-out should have 29 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. The unit vectors i , j , k are the same as the unit vectors x , y , and z . 001 10.0 points Convert the angle 64 15 from degrees to ra- dians. Correct answer: 1 . 12137 rad. Explanation: Basic Concepts: 1 = 60 rad = 180 Solution: 15 1 60 = parenleftbigg 15 60 parenrightbigg 64 15 = parenleftbigg 64 + 15 60 parenrightbigg 180 = 1 . 12137 002 10.0 points Find the radian measure of the central angle of a circle of radius 17 feet that intercepts an arc of length 13 ft. Correct answer: 0 . 764706 rad. Explanation: If the radius of the arc is r = 17 feet and the length of the arc is 13 feet, then the corresponding radian measure of the angle is given by: = s r = 13 17 . 764706 . 003 (part 1 of 6) 10.0 points Consider the point parenleftbigg 16 20 , 12 20 parenrightbigg parenleftbigg 16 20 , 12 20 parenrightbigg x y t on the unit circle. a) Find sin t 1. 12 20 correct 2. 12 16 3. None of these 4. 16 20 5. 16 12 6. 20 12 7. 20 16 Explanation: ( x, y ) = parenleftbigg 16 20 , 12 20 parenrightbigg sin t = y = 12 20 004 (part 2 of 6) 10.0 points b) Find cos t 1. 12 16 2. 16 12 3. 16 20 correct 4. 20 16 5. None of these schroeder (cs39963) Quiz 3: Trigonometry and Vectors balasubramanya (1401310) 2 6. 20 12 7. 12 20 Explanation: cos t = x = 16 20 005 (part 3 of 6) 10.0 points c) Find tan t 1. 20 12 2. 20 16 3. 16 20 4. 12 20 5. 12 16 correct 6. None of these 7. 16 12 Explanation: tan t = y x = 12 20 16 20 = 12 16 006 (part 4 of 6) 10.0 points WITHDRAWN 007 (part 5 of 6) 10.0 points WITHDRAWN 008 (part 6 of 6) 10.0 points WITHDRAWN 009 (part 1 of 2) 10.0 points A 6-foot person walks from the base of a broadcast tower directly toward the tip of the shadow cast by the tower. When the per- son is 32 feet from the tower and 3 feet from the tip of the towers shadow, his shadow starts to appear beyond the towers shadow. h 6 ft 32 ft 3 ft a) Find an equation involving the height of the tower h and the angle shown on the picture. 1. 6 3 = h 35 correct 2. None of these 3. sin = h 35 4. cos = 35 h 5. tan = 35 h 6. 3 6 = h 35 Explanation: By considering the triangle depicted below h 6 ft 32 ft 3 ft we see that tan = h 32 + 3 = h 35 . 010 (part 2 of 2) 10.0 points b) What is the height of the tower? 1. 64 ft schroeder (cs39963) Quiz 3: Trigonometry and Vectors balasubramanya (1401310) 3 2. 76 ft 3. 62 ft 4. 70 ft correct 5. 78 ft Explanation: 6 3 = h 35 h = 35 6 3 = 70 feet ....
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Quiz 3 Solutions - schroeder (cs39963) Quiz 3: Trigonometry...

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