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Geometry Chapter 9 Review: Solving Geometric Problems, Exams of Geometry

Vlerick Leuven Gent Management SchoolGeometry

A series of geometry problems aimed at finding the value of variables, determining if side lengths form a pythagorean triple, and identifying triangle types. It also includes problems related to trigonometry, angles of elevation, and finding the area of triangles.

Typology: Exams

2021/2022

Uploaded on 08/05/2022

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dirk88 🇧🇪

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Geometry Chapter 9 Review
Find the value of x. Then tell whether the side lengths form a Pythagorean triple.
1. 2. 3.
Do the following segment lengths form a triangle? If so, is the triangle acute, obtuse, or right?
4. 2, 4, 8 5. 5, 6, 7 6. 6, 8, 15 7. 9, 12, 15
8. A helicopter rose vertically 325 meters and then flew east 500 meters. How far is the helicopter from
its starting point?
Find the values of x and y. Write your answer in simplest form.
9. 10. 11.
Find tan A and tan B. Write each answer as a fraction and as a decimal rounded to the nearest hundredth.
12. 13. 14.
Find the value of x. Round your answer to the nearest tenth.
15. 16. 17.
Use the diagram. Write your answer as a fraction and as a decimal rounded to the nearest
hundredth.
18. sin A 19. cos A 20. sin B 21. cos B
pf3

Partial preview of the text

Download Geometry Chapter 9 Review: Solving Geometric Problems and more Exams Geometry in PDF only on Docsity!

Geometry Chapter 9 Review

Find the value of x. Then tell whether the side lengths form a Pythagorean triple.

Do the following segment lengths form a triangle? If so, is the triangle acute , obtuse , or right?

  1. 2, 4, 8 5. 5, 6, 7 6. 6, 8, 15 7. 9, 12, 15
  2. A helicopter rose vertically 325 meters and then flew east 500 meters. How far is the helicopter from its starting point? Find the values of x and y. Write your answer in simplest form.

Find tan A and tan B. Write each answer as a fraction and as a decimal rounded to the nearest hundredth.

Find the value of x. Round your answer to the nearest tenth.

Use the diagram. Write your answer as a fraction and as a decimal rounded to the nearest hundredth.

  1. sin A 19. cos A 20. sin B 21. cos B

  1. A wheelchair ramp is 4.2 meters long. It rises up 0.7 meter. What is the angle of elevation to the nearest tenth of a degree?

  2. You go to the park on a windy day to fly a kite. You have released 40 feet of string. The string makes an angle of 36 with the ground. How high is the kite in the air?

  3. A 22-foot ladder is resting against the side of a building. The bottom of the ladder is 3 feet from the building. Find the measure of the angle the ladder makes with the ground. Round your answer to the nearest tenth of a degree.

  4. Markwick Farble, that great trig student, now has his sights set on the school's flagpole. If our 6' tall hero is 30' from the pole and sights its top at a 40 angle, how high is the flagpole? Find the missing angle measure in each right triangle. Give the answer to the nearest tenth of a degree.

  6. Find the Geometric Mean. a. 4 and 18 b. 15 and 20

  7. Jaime wants to find the height of a redwood tree. Using his angle-measuring device, he finds that the angle of elevation to the top of the tree is about 79°. After measuring the angle, he walks off 31 paces to the base of the tree. If each pace is 0.6 meters, how tall is the tree to the nearest meter?

  8. A paraglider is towed behind a boat by 400-ft of rope attached to the boat at a point 15 ft above the water. The spotter in the boat estimates the angle of the ropes to be 35 above the horizontal. Estimate the paraglider’s height above the water.

  9. A bike frame has a top tube length of 20.75 inches, a seat tube length of 8.9 inches, and a seat tube angle of71 . a. Find the approximate length of the down tube. b. Find the angle between the seat tube and down tube. In Exercises 32 and 33, find the area of the triangle. Round your answer to the nearest tenth.