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Right Triangles and Trigonometry Chapter 8 Test Instructions: You will need a calculator for some of the problems. Complete all of the work on binder paper in an organized manner. Submit your work to the instructor according to the directions in Moodle. 1. Find AB. If necessary, give the answer in simplest radical form. 5. Find ST. Round to the nearest tenth. 6. From a point on the ground 12 feet in front of the building, the angle of elevation to the top of the building is 76°. How tall is the building? Round the answer to the nearest foot. 2. Find the distance across the pond. 7. To the nearest degree, what is mA? 3. Find sin B as a decimal rounded to the nearest hundredth. 4. Use a special right triangle to write cos 45° as a fraction in simplest radical form. Name _______________________________________ Date __________________ Class __________________ 8. Use a calculator and inverse trigonometric ratios to find the unknown side lengths and angle measures. Round lengths to the nearest hundredth and angle measures to the nearest degree. mD= DE= EF= 9. The angle of depression from a plane to the airport is 34°. The pilot reports that the plane’s altitude is 3200 feet. Complete the diagram, then find the horizontal distance between the plane and the airport to the nearest foot. 10. An air traffic controller at an airport sights a plane at an angle of elevation of 28°. The pilot reports that the plane’s altitude is 4500 feet. Draw a diagram to represent the situation then find the horizontal distance from the control tower to the plane. Round to the nearest foot. Zelda, a trapeze artist, stands on a 10-meter-high platform. 11. Zelda measures a 40 angle of depression to the base of the other platform. Find the distance between the bases of the platforms to the nearest tenth of a meter 12. Zelda’s partner, Zev, is on the ground doing a safety check on the net. Zelda measures a 79 angle of depression to Zev. Find the distance to the nearest tenth of a meter from Zev to the base of Zelda’s platform. Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Geometry Name _______________________________________ Date __________________ Class __________________ Use the graph for Exercises 13 and 14. 13. Find the magnitude of 3, 4. 14. Find the direction of 3, 4 to the nearest degree. 15. Find the magnitude of PQ with initial point P(4, 7) and terminal point Q(1, 3). Leave the answer in simplest radical form. 16. The current of a river is given by the vector 4, 2. Find the direction of the vector to the nearest degree. XYZ has vertices X(6, 6), Y(6, 3), and Z(1, 3). Complete Exercises 17-20 to find the side lengths to the nearest hundredth and the angle measures to the nearest degree. 17. Plot the points and draw XYZ. (Copy and paste this graph or use your own graph paper.) 18. Tell which angle is the right angle. ________ 19. Find the side lengths. XY ________ YZ ________ XZ ________ 20. Find the angle measures. mX= mY= mZ= Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Geometry Name _______________________________________ Date __________________ Class __________________ Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Geometry