7:20 PM Tue Mar 8 . .. '5' 28% 93 ED AA Iearn.umgc.edu C a] + 33 9 Log l+ 0 Final 3% 0 Final Exam -... O learn.umgc.... 0 Weeks (Mar... learn.umgc.... G square root... 21. A projectile is launched from a platform [5 feet high with an initial velocity of 56 feet per second, The height h of the projectile at 1 seconds after launch is given by h = 16t2 + 56f + 15 feet. (a) How many seconds after launch does the projectile attain maximum height? Show work. (b) What is the maximum height? Show work. x+11 48 x+3 x29 22. Solve: = 0. Show work. 23. Suppose that cos 6' = 4/5 and that 0 is a Quadrant IV angle. (3) Find the exact value of sin 0. Show work. (b) Find the exact value of sin(29). Show work. 24. Prove the identity 1 (sin x cos x)2 = sin 2x Page 6 of 7 MATH l 15 Precalculus 25. From a point 47 feet from the base of a redwood tree, the angle of elevation to the top of the tree is 543. Find the height of the tree to the nearest tenth of a foot. Show work. (sketch is not to scale) 47 fuel: 26. For the triangle ABC, we are given thatA = 44, B = 59, and c = 25.0. , 7:20 PM Tue Mar 8 o no Iearn.umgc.edu B d) 28% 93' 7of7 MATH l 15 Precalculus 25. From a point 47 feet from the base of a redwood tree, the angle of elevation to the top of the tree is 54.3. Find the height of the tree to the nearest tenth of a foot. Show work. (sketch is not to scale) 47M 26. For the triangle ABC, we are given thatA = 44, B = 59, and C = 25.0. 44 59 A c = .25 3 Find the length of side b, rounded to the nearest hundredth. Show work. 2719.: ii = (4, 2) and ii = (5, mi (b) Calculate the dot product ii - 77'. Show work. (0) Determine the angle between 71' and 3. Round the result to the nearest degree. Show work. (\"1)2 (31-4)2 25 + 100 28. An ellipse has the equation = 1 (a) Is the major axis horizontal or vertical? (b) Find the exact values of the foci of the ellipse. Show work. Page 7 of 7