Math 111 Final

# Math 111 Final - MATH 111 Final Summer 2011 Section 1 No...

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Unformatted text preview: MATH 111 - Final - Summer 2011 - Section 1 No books, notes, or calculators allowed. There is no time limit. 1. In a right triangle, A = 53 ◦ and b = 6. Find the length of the hypotenuse c . (a) 6 sin(53 ◦ ) (b) 6 sin(53 ◦ ) (c) 6 cos(53 ◦ ) (d) 6 cos(53 ◦ ) (e) 6 tan(53 ◦ ) (f) 6 tan(53 ◦ ) 2. A 20 foot extension ladder leaning against a building makes a 68 ◦ angle with the ground. Find how far up the building the ladder reaches. (a) sin(68 ◦ ) 20 (b) 20 sin(68 ◦ ) (c) cos(68 ◦ ) 20 (d) 20 cos(68 ◦ ) (e) tan(68 ◦ ) 20 (f) 20 tan(68 ◦ ) 3. Use the Complementary Angle Theorem to find tan(25 ◦ ) cot(65 ◦ )- sec(25 ◦ ) csc(65 ◦ ) (a)- 1 (b) 1 (c) 0 (d) 2 (e)- 2 (f) 1 2 4. A triangle has angles A = 45 ◦ and B = 105 ◦ with side b = 2. Find the length of side c . (a) √ 6 (b) √ 2 (c) √ 6 + √ 2 (d) √ 6- √ 2 (e) 1 (f) 2 √ 2 5. Determine how many triangles can be produced with the given information: a = 3, c = 1 and C = 30 ◦ ....
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Math 111 Final - MATH 111 Final Summer 2011 Section 1 No...

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