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Dylan wants to clean his second story windows and plans to buy a ladder that will reach at least 17 feet high. If he leans the ladder against the house so that the base of the ladder makes a 54.1 angle with the ground, how long of a ladder should he buy? Please round to one decimal place. . Question 5 5 pts 9 1 Solve the length of the unknown side. Round each answer to the nearest tenth. 2 Q . Question 6 5 pts 9 1 Match up the graphs. A: cos(a) B: 2 . sin (3 . x) + 2 C: sin(2 . x) + 1 D: 4 . sin( - 2 . x) - 1 E: sin(3 . x) - 1 F: 3 . cos( - 2 . z) . Question 7 5 pts 9 137/2 . Question 14 5 pts 9 1 Solve the equation given. Enter all solutions, in degrees, that lie in the interval [0 , 360 ). Do not enter the degree sign. If there are more than one angle, separate them by a comma. 2 sin a - 5 sina + 2 = 0 a = . Question 15 5 pts 9 1 Find all solutions of the equation in the interval [0, 27). (hint: isolate the trig function then draw triangles) tan (x) - 3 = 0 . Question 16 5 pts 9 1 Find all solutions of the equation in the interval [0, 27). (hint: isolate the trig function then draw triangles) 2 sin(z) - V3 = 0 . Question 17 5 pts 9 1\f. Question 1 5 pts 9 1 Given the triangle , find the measure of angle A using the Law of Cosines. Picture is 14 a not drawn to scale A = degrees Give your answer accurate to at least one decimal place . Question 2 5 pts 9 1 Match each equation with its general solution. - v cos(0) = 0 a. = - + 27ck, k any integer - v cos(0) = 1 - v cos(0) = -1 b. 0 = + 27k, k any integer - v sin(0) = 0 c. 0 = wk, k any integer - v sin(0) = - 1 d. 0 = 27k, k any integer - sin(0) = 1 e. 0 = - + 7k, k any integer f. 0 = 1 + 27k, k any integer . Question 3 5 pts 9 1 A biologist wants to know the width (w) of a river (see figure) in order to properly set instruments for studying the pollutants in the water. From a point A, the biologist walks downstream 100 feet and sights to point C. From this sighting, it is determined that 0 = 58. How wide is the river? (round to nearest tenth) 0 =58' 100 ft. Biologist . Question 4 5 pts O 1Find the exact value in radians. arccos (2 . Question 8 5 pts O 1 Write the sum as a product: cos(24.5r) + cos(5.3r) = . Question 9 5 pts 9 1 Evaluate: arccos(1) Give the answer in exact radians. . Question 10 5 pts O 1 Write the product as a sum or difference: 18 cos(22c)sin(9c) = . Question 11 5 pts 91 From the top of a 229-ft lighthouse, the angle of depression to a ship in the ocean is 22. How far is the ship from the base of the lighthouse? Give your answer to the nearest foot. The boat is feet from the base of the light house. . Question 12 5 pts 9 1 Determine the amplitude and period of the function shown in this graph: Leave your answers in exact form; if necessary, type pi for 7. amplitude= period= Question 13 5 pts 1Given the triangle below, find the measure of angle x . Round to two decimal places. Note: picture is NOT drawn to scale but x is obtuse. 21 12 280 Q degrees . Question 18 5 pts 1 A 5 foot ladder leans against a wall as shown in the picture. What is the angle between the ladder and the wall? Question 19 5 pts 9 1 Evaluate: cos - (1) . Question 20 5 pts 9 1 Find the exact value in radians. arcsin ()