Geometry Chap 8 Practice Test Answers

Name: ______________________ Class: _________________ Date: _________ Geo, Chap 8 Practice Test Short Answer Find the length of the missing side. Leave your answer in simplest radical form. 1. (8-1) 2. (8-1) A grid shows the positions of a subway stop and your house. The subway stop is located at (6, 0) and your house is located at (–7, 1). What is the distance, to the nearest unit, between your house and the subway stop? 3. (8-1) A triangle has side lengths of 10 cm, 24 cm, and 26 cm. Classify it as acute, obtuse, or right. 4. (8-2) Find the value of x and y rounded to the nearest tenth. 5. (8-2) A piece of art is in the shape of an equilateral triangle with sides of 14 in. Find the area of the piece of art. Round your answer to the nearest tenth. 6. (8-2) A conveyor belt carries supplies from the first floor to the second floor, which is 22 feet higher. The belt makes a 60° angle with the ground. a. How far do the supplies travel from one end of the conveyor belt to the other? Round your answer to the nearest foot. b. If the belt moves at 75 ft/min, how long, to the nearest tenth of a minute, does it take the supplies to move to the second floor? Find the value of x. Round your answer to the nearest tenth. 7. (8-3) 8. (8-3) Find the value of x to the nearest degree. 9. (8-3) Find the value of x. Round to the nearest tenth. 10. (8-4) Find the value of x. Round to the nearest degree. 11. (8-4) 12. (8-4) Viola drives 160 meters up a hill that makes an angle of 6° with the horizontal. To the nearest tenth of a meter, what horizontal distance has she covered? Find the value of x. Round the length to the nearest tenth. 13. (8-5) 14. (8-5) 15. (8-5) To approach the runway, a small plane must begin a 9° descent starting from a height of 1036 feet above the ground. To the nearest tenth of a mile, how many miles from the runway is the airplane at the start of this approach? 16. (8-6) A glider lands 18 miles west and 8 miles south from where it took off. The result of the trip can be described by the vector 〈 −18 , −8〉 . Use distance (for magnitude) and direction to describe this vector a second way. Write the sum of the two vectors as an ordered pair. 17. (8-6) 〈 0 , 5〉 and 〈 −5 , −4〉 18. (8-6) Miguel is driving his motorboat across a river. The speed of the boat in still water is 13 mi/h. The river flows directly south at 3 mi/h. If Miguel heads directly west, what are the boat’s resultant speed and direction? (Not drawn to scale) Geo, Chap 8 Practice Test Answer Section SHORT ANSWER 1. ANS: 2 65 cm KEY: Pythagorean Theorem | leg | hypotenuse 2. ANS: 13 KEY: Pythagorean Theorem | leg | hypotenuse | word problem | problem solving 3. ANS: right KEY: right triangle | obtuse triangle | acute triangle 4. ANS: x = 24.0, y = 46.4 KEY: special right triangles | leg | hypotenuse 5. ANS: 84.9 in.2 KEY: area of a triangle | word problem | problem solving 6. ANS: 25 ft; 0.3 min 7. ANS: 12.1 8. ANS: 8.3 9. ANS: 62 10. ANS: 5.5 11. ANS: 25 12. ANS: 159.1 m 13. ANS: 200 m KEY: special right triangles | multi-part question | word problem | problem solving KEY: side length using tangent | tangent | tangent ratio KEY: side length using tangent | tangent | tangent ratio KEY: inverse of tangent | tangent | tangent ratio | angle measure using tangent KEY: sine | side length using since and cosine | sine ratio KEY: inverse of cosine and sine | angle measure using sine and cosine | sine KEY: cosine | word problem | side length using since and cosine | problem solving | cosine ratio KEY: sine | side length using since and cosine | sine ratio | angles of elevation and depression 14. ANS: 6.4 yd KEY: tangent | side length using tangent | tangent ratio | angles of elevation and depression 15. ANS: 1.3 mi KEY: side length using since and cosine | word problem | problem solving | sine | angles of elevation and depression | sine ratio 16. ANS: 20 miles at 24° south of west KEY: magnitude of a vector | word problem | vector coordinates | initial point of a vector | terminal point of a vector | vector | problem solving 17. ANS: 〈−5 , 1〉 KEY: adding vectors | vector coordinates | vector 18. ANS: 13.3 mi/h; 13° south of west KEY: magnitude of a vector | problem solving | vector | word problem 3