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Gladys Newman
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1 Page 1 of 11 Name: 1. If tan A= , find the measure of A to the nearest degree. 2. The straight string of a kite makes an angle of elevation from the ground of 60. The length of the string is 400 feet. What is the best approximation of the height of the kite? ft ft ft ft. 3. Figure 1 A person standing on level ground is 2,000 feet away from the foot of a 420-foot tall building, as shown in the accompanying diagram. To the nearest degree, what is the value of x?

2 Page 2 of Figure 2 The accompanying diagram represents a tree. To the nearest tenth of a foot, the height of the tree is feet. 5. In the accompanying diagram of right triangle ABC, AB = 8, BC = 15, AC = 17, and m ABC = 90. What is tan C?

3 Page 3 of Which ratio represents cos A in the accompanying diagram of ABC? As shown in the accompanying diagram, a ladder is leaning against a vertical wall, making an angle of 70 with the ground and reaching a height of feet on the wall. a Find, to the nearest foot, the length of the ladder. Answer: feet b Find, to the nearest foot, the distance from the base of the ladder to the wall. Answer: feet

4 Page 4 of 11

5 Page 5 of From a point on level ground 25 feet from the base of a tower, the angle of elevation to the top of the tower is 78, as shown in the accompanying diagram. Find the height of the tower, to the nearest tenth of a foot. Answer: feet 9. Ron and Francine are building a ramp for performing skateboard stunts, as shown in the accompanying diagram. The ramp is 7 feet long and 3 feet high. What is the measure of the angle, x, that the ramp makes with the ground, to the nearest tenth of a degree? Answer:

6 Page 6 of The accompanying diagram shows a ramp 30 feet long leaning against a wall at a construction site. If the ramp forms an angle of 32 with the ground, how high above the ground, to the nearest tenth, is the top of the ramp? ft ft ft ft 11. Which diagram represents a relation in which each member of the domain corresponds to only one member of its range?

7 Page 7 of Which graph does not represent a function of x? 13. Which of the following relations is not a function? 1. {(1, 6), (5, 6), (1, -3), (-2, 4)} 2. {(1, 6), (2, 6), (-3, 6), (7, 6)} 3. {(9, 0), (8, -4), (-4, 6), (1, 0)} 4. {(-11, 2), (2, -11)} 14. The relation {(1, 10), (0, -2), (6, -5)} is a function. Which of the ordered pairs below could be added to this relation and it would still be a function? 1. (1, -2) 3. (-7, -5) 2. (0, 4) 4. (6, -8)

8 Page 8 of The diagram below represents a relation. List the ordered pairs in the relation and tell whether or not the relation is also a function. 1. {(1, 4), (2, 4), (3, 5)}; the relation is a function 2. {(1, 4), (2, 4), (2, 6), (3, 5)}; the relation is not a function 3. {(1, 4), (2, 4), (2, 6), (3, 5)}; the relation is a function 4. {(1, 4), (2, 4), (3, 5)}; the relation is not a function 16. The graph below is the graph of what type of function? 1. Linear 3. Absolute value 2. Exponential 4. Quadratic 17. The graph below is the graph of what type of function? 1. Linear 3. Absolute value 2. Exponential 4. Quadratic

9 Page 9 of The graph below is the graph of what type of function? 1. Linear 3. Absolute value 2. Exponential 4. Quadratic 19. The graph below is the graph of what type of function? 1. Linear 3. Absolute value 2. Exponential 4. Quadratic 20. Which of the graphs below represents the graph of a linear function?

10 Page 10 of The graph below represents an 18-quart jug of water for Jason's 3 dogs to drink Which is the range of the function? Figure 3 1. [0, 9] 2. [0, 18] 3. [0, 2, 4, 6,, 18] 4. [0, 1, 2, 3,, 9]

11 Page 11 of [Refer to figure 3 in question 21] Which is the domain of the function? 1. [0, 9] 2. [0, 18] 3. [0, 2, 4, 6,, 18] 4. [0, 1, 2, 3,, 9] 23. Bill is remodeling his house and intends to put a ceiling fan in each room of the house. Ceiling fans are on sale this week for $49, including tax. He has $300 to spend. If the function f(c) = 49c models the situation, what is the domain of the function in the context of the problem? 1. 0 c c 7 3. {0, 1, 2, 3, 4, 5, 6} 4. {0, 49, 98, 147, 196, 245, 294} 24. Bubba s Bait Shop charges $2.00 for each can of worms, plus a $5.00 surcharge. Bubba decided to lower the surcharge by $1.50 for the summer months. Which function represents the new cost of purchasing k cans of worms from Bubba s Bait Shop? 1. f(k) = 2.00k f(k) = 2.00k f(k) = 2.00k f(k) = 2.00k Susan works at the local ice cream shop with her friend Tara. Susan is a shift supervisor and is paid $9.50 an hour. The owner of the shop decided to give Susan a bonus of $25 in her upcoming check to say thanks for all of her hard work. Which function shows Susan s salary (S), if she works h hours during the upcoming week? 1. S(h) = 9.50h S(h) = 9.50h S(h) = 25h S(h) =

Geometry Final Exam Review 2012 #

Geometry Final Exam Review 2012 # 1 PART 1: Multiple Choice (40 x 2 points = 80%). PART 2: Open Ended (2 x 10 = 20%) 1) Find the volume and surface area of the following rectangular prisms 2) Find the surface area of the following cylinders.