Document Details

LowRiskKremlin9634

Uploaded by LowRiskKremlin9634

Woodbridge Township High School

2022

CC

Tags

geometry trigonometry problem solving math

Summary

This is a geometry test from Big Ideas Math, covering Chapter 9. It contains various trigonometry questions and problem-solving exercises.

Full Transcript

12/12/24, 12:55 PM Activity Preview Chapter 9 Test Geo H 1. Find tan A​. If necessary, write your answer as a fraction. tan A = ​...

12/12/24, 12:55 PM Activity Preview Chapter 9 Test Geo H 1. Find tan A​. If necessary, write your answer as a fraction. tan A = ​ Geometry: CC 2022>Chapter 9>Chapter 9: End Quiz> Question #1 2. Find sin B​. sin B = ​ Geometry: CC 2022>Chapter 9>Chapter 9: End Quiz> Question #2 https://www.bigideasmath.com/MRL/public/app/#/teacher/activity-builder/parent;activityId=6a837cf9-1202-4833-bb8e-fd031b425e69;activityType=ASS… 1/8 12/12/24, 12:55 PM Activity Preview 3. Solve the right triangle. Round to the nearest tenth, if necessary. m∠ B = ​ °​ m∠ C = ​ °​ a=​ Geometry: CC 2022>Chapter 9>Chapter 9: End Quiz> Question #5 4. You measure your distance from a tree and the angle of elevation from the ground to the top of the tree. The triangle shown represents the situation. Find the height of the tree. Round to the nearest hundredth. h =​ feet Geometry: CC 2022>Chapter 9>Chapter 9: End Quiz> Question #6 5. You are skiing on a mountain. Find the distance x​from you to the base of the mountain. Round to the nearest foot. x≈​ Geometry: CC 2022>Chapter 9>Chapter 9: End Quiz> Question #7 https://www.bigideasmath.com/MRL/public/app/#/teacher/activity-builder/parent;activityId=6a837cf9-1202-4833-bb8e-fd031b425e69;activityType=ASS… 2/8 12/12/24, 12:55 PM Activity Preview 6. An airplane flies 58° east of north from City A to City B, a distance of 480 miles. Another airplane flies 8° north of east from City A to City C, a distance of 910 miles. What is the distance between Cities B and C? Round to the nearest tenth of a mile. About miles Geometry: CC 2022>Chapter 9>Chapter 9: End Quiz> Question #8 7. Find the value of x​. Then tell whether the side lengths form a Pythagorean triple. x=​ The side lengths form a Pythagorean triple. The side lengths do not form a Pythagorean triple. Geometry: CC 2022>Chapter 9>Chapter 9: Mid Quiz> Question #1 8. Find the value of x​. If necessary, write your answer in radical form. x =​ Geometry: CC 2022>Chapter 9>Chapter 9: Mid Quiz> Question #4 https://www.bigideasmath.com/MRL/public/app/#/teacher/activity-builder/parent;activityId=6a837cf9-1202-4833-bb8e-fd031b425e69;activityType=ASS… 3/8 12/12/24, 12:55 PM Activity Preview 9. You are standing next to a monument. You use a cardboard square to line up the top and bottom of the monument with your eye, as shown. Approximate the height of the sculpture. Round to the nearest hundredth, if necessary. About feet Geometry: CC 2022>Chapter 9>Chapter 9: Mid Quiz> Question #7 10. Write sin 20°​in terms of cosine. sin 20° = cos​ °​ Geometry: CC 2022>Chapter 9>Chapter 9: Test> Question #7 11. You are holding a kite string in your hand. The angle of elevation from your hand to the kite is 40°​and the distance to the kite is 289 feet. Your hand is 4 feet above the ground. How high is the kite? Round your answer to the nearest tenth of a foot. about feet Geometry: CC 2022>Chapter 9>Chapter 9: Test> Question #13 12. Find cos B​. cos B = ​ Geometry: CC 2022>Chapter 9>Chapter 9: Test> Question #6 https://www.bigideasmath.com/MRL/public/app/#/teacher/activity-builder/parent;activityId=6a837cf9-1202-4833-bb8e-fd031b425e69;activityType=ASS… 4/8 12/12/24, 12:55 PM Activity Preview 13. Solve the right triangle. Round to the nearest tenth, if necessary. m∠ B = ​ °​ b=​ c=​ Geometry: CC 2022>Chapter 9>Chapter 9: Test> Question #9 14. Find the value of x​that makes △ABC ~ △DEF​. x=​ Geometry: CC 2022>Chapter 9>Course Benchmark 3> Question #29 https://www.bigideasmath.com/MRL/public/app/#/teacher/activity-builder/parent;activityId=6a837cf9-1202-4833-bb8e-fd031b425e69;activityType=ASS… 5/8 12/12/24, 12:55 PM Activity Preview 15. Complete the two-column proof of the Alternate Interior Angles Theorem. Given p ∥ q​ Prove ∠1 ≅ ∠2​ STATEMENTS REASONS 1. p ∥ q​ 1. Given 2. 2. Corresponding Angles Theorem 3. ∠3 ≅ ∠2​ 3. Vertical Angles Congruence Theorem 4. 4. ∠1 ≅ ∠2​  Transitive Property of Congruence  ∠1​and ∠3​are right angles.  ∠1 ≅ ∠3​  Line Intersection Postulate Geometry: CC 2022>Chapter 9>Course Benchmark 3> Question #10 https://www.bigideasmath.com/MRL/public/app/#/teacher/activity-builder/parent;activityId=6a837cf9-1202-4833-bb8e-fd031b425e69;activityType=ASS… 6/8 12/12/24, 12:55 PM Activity Preview 16. Find m∠JKM​. The measure of ∠JKM​is °​. Geometry: CC 2022>Chapter 9>Course Benchmark 3> Question #17 17. Find AD​. AD = ​ Geometry: CC 2022>Chapter 9>Course Benchmark 3> Question #21 18. Find the length of DE ​. The length of DE ​is unit(s). Geometry: CC 2022>Chapter 9>Course Benchmark 3> Question #30 https://www.bigideasmath.com/MRL/public/app/#/teacher/activity-builder/parent;activityId=6a837cf9-1202-4833-bb8e-fd031b425e69;activityType=ASS… 7/8 12/12/24, 12:55 PM Activity Preview https://www.bigideasmath.com/MRL/public/app/#/teacher/activity-builder/parent;activityId=6a837cf9-1202-4833-bb8e-fd031b425e69;activityType=ASS… 8/8

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