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Regents Exam Questions G.SRT.C.8: Using Trigonometry to Find a Side 1b Page 1 www.jmap.org Name: __________________________________ 1 In the accompanying diagram of right triangle ABC, and . Which single function could be used to find AB? 1) 2) 3) 4) 2 In right triangle ABC, 1) . Which equation is true for this triangle? 2) 3) 4) 3 The angle of elevation from a point 25 feet from the base of a tree on level ground to the top of the tree is 30°. Which equation can be used to find the height of the tree? 1) 2) 3) 4) 4 In the right triangle shown in the diagram below, what is the value of x to the nearest whole number? Regents Exam Questions G.SRT.C.8: Using Trigonometry to Find a Side 1b Page 2 www.jmap.org Name: __________________________________ 5 Given the right triangle in the diagram below, what is the value of x, to the nearest foot? 6 As shown in the diagram below, a building casts a 72-foot shadow on the ground when the angle of elevation of the Sun is 40°. How tall is the building, to the nearest foot? 7 The accompanying diagram shows a ramp 30 feet long leaning against a wall at a construction site. If the ramp forms an angle of 32° with the ground, how high above the ground, to the nearest tenth, is the top of the ramp? Regents Exam Questions G.SRT.C.8: Using Trigonometry to Find a Side 1b Page 3 www.jmap.org Name: __________________________________ 8 As shown in the diagram below, the angle of elevation from a point on the ground to the top of the tree is 34°. If the point is 20 feet from the base of the tree, what is the height of the tree, to the nearest tenth of a foot? 9 A tree casts a 25-foot shadow on a sunny day, as shown in the diagram below. If the angle of elevation from the tip of the shadow to the top of the tree is 32°, what is the height of the tree to the nearest tenth of a foot? 10 An 8-foot rope is tied from the top of a pole to a stake in the ground, as shown in the diagram below. If the rope forms a 57° angle with the ground, what is the height of the pole, to the nearest tenth of a foot? Regents Exam Questions G.SRT.C.8: Using Trigonometry to Find a Side 1b Page 4 www.jmap.org Name: __________________________________ 11 The diagram below shows two similar triangles. If , what is the value of x, to the nearest tenth? 12 A right triangle contains a 38° angle whose adjacent side measures 10 centimeters. What is the length of the hypotenuse, to the nearest hundredth of a centimeter? 13 A 20-foot support post leans against a wall, making a 70° angle with the ground. To the nearest tenth of a foot, how far up the wall will the support post reach? 14 In right triangle ABC, hypotenuse? , , and . What is the length of the Regents Exam Questions G.SRT.C.8: Using Trigonometry to Find a Side 1b www.jmap.org 1 2 3 4 ANS: 1 ANS: 4 ANS: 1 ANS: 21 REF: 010912ia 5 ANS: 18 REF: 011712geo 6 ANS: 60 REF: 061516ia 7 ANS: 15.9 ft REF: 080724a 8 ANS: 13.5 REF: 061505geo 9 ANS: 15.6 REF: 010926a REF: 018933siii REF: 060419a Regents Exam Questions G.SRT.C.8: Using Trigonometry to Find a Side 1b www.jmap.org REF: 080914ia 10 ANS: 6.7 REF: 061108ia 11 ANS: 5.6 REF: 011707geo 12 ANS: 12.69 REF: 081126ia 13 ANS: 18.8 REF: 061611geo 14 ANS: 8 REF: 088725siii