prefinalpart1

# prefinalpart1 - angle of depression to the bottom of the...

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College Algebra/Analytic Geometry W1003 Section 003, Spring 2007 Final Exam Part I, Thomas D. Peters Name: May 8, 2007 Do all problems, in any order. Show your work. An answer alone may not receive full credit. No notes or texts may be used on this part of the exam. Calculators are permitted for this part only. Problem Possible Points Points Earned 1 5 2 10 3 10 4 10 5 10 TOTAL 45 1

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1. (5 points) A sector of a circle of radius 24 mi has an area of 288 mi 2 . Find the central angle of the sector. 2. (10 points) A water tower is located 325 ft from a building. From a window in the build- ing, an observer notes that the angle of elevation to the top of the tower is 39 and that the
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Unformatted text preview: angle of depression to the bottom of the tower is 25 ◦ . How tall is the tower? How high is the window? 3. (10 points) The bell tower of the cathedral in Pisa, Italy, leans 5 . 6 ◦ from the vertical. Rossella stands 105 m from its base, with the tower leaning directly toward her. She measures the angle of elevation to the tower to be 29.2 ◦ . Find the length of the tower to the nearest meter. 4. (10 points) A triangular ﬁeld has sides of lengths 22, 36, and 44 yd. Find the largest angle. 5. (10 points) Find all possible triangles that satisfy the given conditions a = 74, b = 81, ∠ A = 58 ◦ . 2...
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prefinalpart1 - angle of depression to the bottom of the...

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