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Geometry B Unit 6: Lessons 1-4 Quiz Review Name 1) Any two triangles with the same angles are by __________ postulate, so their sides are . 2) In order to solve a triangle, at least __________ parts must be known. 3) Which order of parts can never be solved? __________ 4) The trigonometric functions are defined for the _______________ angles in a right triangle. 5) If sin32 0.5299... , then sin1 0.5299 _______________ 6) If tan A 5 , then sinB 12 . (A diagram would help.) 7) The trig buttons on your calculator broke! Find an approximate value of sin20 using the triangle. 20° 3.343 1.143 Using the 45-45-90 and 30-60-90 triangle relationships, find the exact value and approximate value for each of the following. Round the approximate value to two decimal places. 8) x = __________ ≈ __________ y = __________ ≈ __________ 9) m = __________ ≈ __________ n = __________ ≈ __________ 10) x = __________ ≈ __________ y = __________ ≈ __________ 11) x = __________ ≈ __________ y = __________ ≈ __________ Find the value of each of the following, rounding to six decimal places/ 12) sin34 = 13) cos72 = 14) tan40 = Find the value of each of the following, rounding to the nearest tenth of a degree. 3.140 15) sin1 .56789 = 16) cos1 .12345 = 17) tan1 6.66 = Solve each triangle. If necessary, round the angles to one decimal place, and round the side lengths to two decimal places. Write your answers on the answer blank. You must have work that supports each answer. B 18) m B = BC = AB = A 76.5° 23.78 C 19) mD = E m E = 27.8 DE = 76.5° 23.78 20) Find the length of the springboard below. Round to the nearest tenth of an inch. D 21.3 F