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Practice Quiz: Lessons 4.7-4.8 Name: _______________________________ Period: ________ 1) Evaluate the following without using a calculator. Use your unit circle. a) 2 = _________ sin 1 2 b) 1 sin 1 = _________ 2 c) arcsin 0 = _________ d) 3 = _________ cos 1 2 e) arccos1 = _________ f) 1 cos 1 = _________ 2 g) arctan 0 = _________ h) tan 1 1 = _________ i) 3 = _________ tan 1 3 2) Evaluate the following compositions of trigonometric functions: a) 7 sin 1 sin 6 a) a) 3) b) 3 = _________________ sin sin 1 2 2 = ___________________ cos cos 1 2 b) 5 cos 1 cos 4 2 tan 1 tan 3 b) tan tan 1 0 = _________________ = ___________________ = ___________________ = _________________ Find all of the missing sides and angles of the following triangles. Circle each final answer. Round 2 decimals places. a) B b) B a C c = 45 b = 30 c = 15 a A 55º A b C 4) Find the altitude of the following isosceles triangle. Round 2 decimals places. 320 320 10 feet 5) Docking a boat A boat is pulled in by means of a winch located on a dock 8 feet above the deck of the boat. Let θ be the angle of elevation from the boat to the winch. Find θ if the length of the rope is 30 feet. Round 2 decimal places. 8 30 θ 6) The sun is 250 above the horizon. Find the length of a shadow cast by a building that is 650 feet tall. Round to the nearest foot. a) Draw a picture to represent the above situation 7) The height of a flagpole is 35 feet. You are standing 12 feet from the flagpole. What is the angle of elevation from you to the top of the flagpole? Round to 2 decimal places. a) Draw a picture to represent the above situation. b) B) Find the length of the shadow. Find the angle of elevation.