Part One: Multiple Choice (1 mark each). Show your work. 1. Tom is looking up at the top of a tree. If the angle of elevation to the top of the tree is 52 degrees and he is standing 40 metres 'orn the tree, how tall is the tree? A. 58.1m B. 53.3n1 C. 485m D. 51.2m 1. 2. When a helicopter is hovering at an altitude of 1500 feet the angle of depression to a distant house is 40 degrees. What is the straight-line distance between the helicopter and the house? A. 1567.6 feet B. 1258.6 feet C. 1787.6 feet D. 2333.6 feet 3. Glenn takes his plane for a ight and is cruising at 3500 feet over Georgia Strait. He calculates the angle of depression to a boat in the distance to be 55 degrees, what is the distance across the water between the plane and the boat in yards? A. 2450.73 yards B. 816.9 yards C. 1666.2 yards D. 1434.2 yards 3. 4. Which of the following expressions can be used to represent slope? A. rise over run B. m A vertical distance A horizontai distance D. all of the above 4. 2-12 5. What is the slope of a line that has a rise of 15 feet over a run of 5 feet? A. B. 3 3 C. 12 D. 1 12 5 . 6. The slope of a roof is 2 / 9, how much does it rise over a 30-foot horizontal distance? A. 135 feet B. 1.7 feet C. 6.7 feet D. 21.7 feet 6. 7. A drainage ditch is to be constructed to drain into a sump. If the ditch is 50 feet long, has a slope of 0.015, and is 6 inches deep at the start, how deep will it be at the sump? A. 9 inches B. 15 inches C. 24 inches D. 12 inches 7. 8. A hill with a slope of 1 / 7. What is the grade of this hill? A. 13.3% B. 10.2% C. 14.3% D. 8.3% 8. 9. Given that the tangent ratio of a staircase is 5 / 8, determine the angle of elevation. A. 320 B. 10.90 C. 58 D. 26 9. 3-12Workplace Math II Navigate NIDES Module 2 Test A 10. Building codes set a maximum requirement of 1 / 12 for the slope of ramps used in construction. What is the maximum height in feet a ramp could be that was 10 yards long? A. 2.3 feet B. 0.83 feet C. 1.3 feet D. 2.5 feet 10. 11. The linear equation that would represent the sum of the figures where S is the sum and n is the number of the figure in the pattern: A. S = 3n B. S = 2n : Figure 1 C. S =n : Figure 2: :Figure 3 : D. S = 4n : Figure 4 : 11. 12. The linear equation that would represent the sum of the figures where S is the sum and n is the number of the figure in the pattern: A. S = 3n - 1 B. S =n -3 C. S =n+3 D. S = 2n +1 : Figure 1: :Figure 2: 12. : Figure 3 13. Which linear equation represents the pattern found in the table of values: A. y = 2x + 2 X y B. y = 2x - 2 -2 0 C. y = =x+2 0 D. y = =x+1 2 4 13. 4-1214. A car rental agency charges $35 a day and 15 cents per kilometer. Which of the following equations would represent the cost of renting a car? A. C= 15k+35 B. C=0.15k+35 C. C = 35k+ 15 D. C=0.35k+15 14. 15. A truck rental agency charges $85 a day and 25 cents per kilometer. What would the cost be for renting a truck for three days and driving 1,000 kilometers? A. $505 B. $335 C. $325 D. $495 15. 16. The cost of producing posters is given by the equation C = 0.7539 + 80. How many posters can a person order if they had a maximum budget of $455? A. p = 500 B. p=380 C. p=430 D. p = 560 16. 17. Which quadrant would you nd the point (3, 5)? A. 1 B. 2 C. 3 D. 4 17. 18. What is the equation of the following graph? A. 32:23: B.y=2x C.y=2 D.x=2 18. 5-12 Workplace Math 11 Navigate NIDES Module 2 Test A 19. What is the equation of the following graph? A. y=x2 B.y=5x2 C.y=x2 D.y=2x2 20. The equation 37 = 5 would result in a graph that is: A. a vertical line B. a horizontal line C. a line that decrease D. a line that increases 20. 21. The slope of a line that passes through the points (3, 4) and (16) is: 2 2 A. - B. - 5 5 1 1 C 2 D. a 2 l . 6-12 PART B WRITTEN RESPONSE (show all work for full marks). Round answers to the nearest tenth. 1. Find the measure of the unknown angles in the following right triangles. (3 marks) a) 39 ? 34 b) 14 ? ( 38 C) 43 L 54 2. Find the length of the unknown sides in the following right triangles. (2 marks) a) 470 Y 34 b) X 240 L 33 7-122. Solve the following right triangle for the lengths of side X and Yand the measure of angle Z. Z V 24 700 X