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Geometry Chapter 8 EXAM Name ____________________________ Period ___________ Date ____________ Basic: 1 correct = 3 points Proficient: 2 correct = 4 points Advanced: 3 correct = 6 points Section 1: Pythagorean Theorem. Solve for the missing side length. LEAVE ANSWER IN SIMPLIEST RADICAL FORM. (NO DECIMALS) B. P. A. Section 2: Classifying Triangles Decide if each triangle is acute, obtuse, or right given their side lengths. MUST SHOW WORK for full credit. B. 4, 5, 6 P. 0.3, 0.4, 0.6 A. 3 , 2, 3 Section 3: 45-45-90 Triangles Solve for the missing variables. (NO DECIMALS) B. x = ______ P. y = _______ A. z = ______ y = ______ y = _____ Section 4: 30-60-90 Triangles Solve for the missing variables. (NO DECIMALS) B. x = ______ P. y = _______ A. x = ______ y = _______ x = ______ Section 5: Sine, cosine, and tangent (NO DECIMALS!) Express the ratios for the given picture. sin(A) = ___________ sin(B) = ___________ cos (A) = ___________ cos (B) = ___________ tan (A) = ___________ tan (B) = ___________ Section 6: Sine, cosine, and tangent. Solve for the missing variable. (Round to the nearest tenth) B. P. A. y = ______ Section 6: Sine, cosine, and tangent. Solve for the missing angle. (Round to the nearest degree) B. P. A. Section 7: Right Triangles. Solve for the missing variable. Round answer to the nearest tenth. B. P. A. Section 8: Elevation and Depression. B. Describe each angle as “elevation” or “depression” as it relates to the objects in the diagram. a. <1 _____________________________ b. <2 _____________________________ c. <3 _____________________________ d. <4 _____________________________ P. Solve for x. A. The world's tallest unsupported flagpole is a 282-ft-tall steel pole in Surrey, British Columbia. The shortest shadow cast by the pole during the year is 137ft long. To the nearest degree, what is the angle of elevation of the sun when the shortest shadow is cast? Section 9: Applications. (DRAW PICTURES!) B. What is the distance from the boathouse to the cabin on the island? P. A conveyor belt carries hay bales from the ground to the loft of the barn 24 feet above the ground. The system makes a 60 degrees angle to the ground. How far does the bale of hay travel from one end of the belt to the other? A. Students in a hang gliding class stand on the top of a cliff 70 m high. They watch a hang glider land on a beach below. The angle of depression to the hang glider is 72 degrees. How far is the hang glider from the base of the cliff? Section 10: Vocabulary _____ Supplementary A. < 4 and <6 _____ Vertical B. <1 and <2 _____ Corresponding C. <2 and <6 _____ Alternate Interior D. <5 and <8 _____ Same Side Interior E. < 4 and <5