1. page 354 1. To get home from school you walk through a park. The park is 400 m long by 90 m wide. You walk from the southwest corner to the northeast corner. How far, in meters, is your walk through the park? 2. Find the value of x.

2. page 354 3. A contractor is building a wheelchair ramp to provide access to a building. There is a height difference of 20 in. between the sidewalk and the building entrance. The ratio of vertical rise to horizontal length of the ramp must be 1 : 12. How long is the ramp’s surface? Round your answer to the nearest hundredth of an inch. 4. The longest side of an acute triangle is 97 mm. The length of one of the other sides is 14 mm. What is the minimum length of the third side? Round to the nearest millimeter.

3. 1. In the center of town there is a square park with side length 30 ft. If a person walks from one corner of the park to the opposite corner, how far does the person walk? Round to the nearest foot. A. 21 ft B. 42 ft C. 52 ftD. 60 ft page 360 Lesson 10-2 | Special Right Triangles

4. 6. The hypotenuse of a 30-60-90 triangle is 24.2 ft. Explain how to find the lengths of the legs of the triangle. 5. A sailing course is in the shape of an equilateral triangle. If the course has an altitude of 9 mi, what is the perimeter of the triangle? page 360 Lesson 10-2 | Special Right Triangles

5. page 366 1. A 14-ft-long ramp rises at an angle of 22.2 . How long is the base of the ramp to the nearest foot? A. 11 ft C. 17 ft B. 13 ft D. 22 ft 2. What is the value of x to the nearest tenth? F. 5.7 H. 30.3 G. 21.2 J. 82.1 3. What is the value of x to the nearest degree? A. 18 B. 19 C. 71 D. 72

6. page 366 4. Which of the following is in order from least to greatest? F. sin N, cos N, tan N H. cos N, sin N, tan N G. tan N, cos N, sin N J. tan N, sin N, cos N 5. What is the value of w to the nearest degree? A. 25 B. 35 C. 40 D. 45 6. A right triangle has an angle that measures 34  and the adjacent side measures 17. What is the length of the hypotenuse to the nearest tenth? F. 20.5 G. 25.2 H. 30.4 J. 34 7. A 12-ft-long ladder is leaning against a wall and makes an 80 angle with the ground. a. How high up the wall does the ladder reach? Round to the nearest inch. b. How far is the base of the ladder from the base of the wall? Round to the nearest inch.

7. page 372 1. A person can see the top of a building at an angle of 65. The person is standing 50 ft away from the building and has an eye level of 5 ft. How tall is the building to the nearest tenth of a foot? A. 26.1 ft B. 50.3 ft C. 107.2 ft D. 112.2 ft 2. A fire ranger on a 150-ft-tall tower spots a fire at a 30 angle of depression. How many feet away from the tower is the fire to the nearest tenth? F. 86.6 ft G. 129.9 ft H. 259.8 ft J. 300 ft 3. What is the value of x to the nearest foot? A. 6,713 ft B. 9,534 ft C. 10,443 ft D. 12,445 ft

8. page 372 6. Two buildings stand 90 ft apart at their closest points. At those points, the angle of depression from the top of the taller building to the top of the shorter building is 12. How much taller is the taller building? Draw a diagram to support your answer. Round your answer to the nearest foot. 5. A wildlife biologist with an eye level of 5.5 ft looks up at a 78 angle of elevation to see a flock of geese in the air. The biologist is standing 200 ft away from a place directly underneath the geese. How high are the geese flying, to the nearest tenth of a foot? A. 210.2 ft B. 940.9 ft C. 946.4 ft D. 967.4 ft 4. What is the value of x to the nearest foot? F. 2097 ft G. 2529 ft H. 3108 ft J. 6706 ft

9. page 354 Lesson 10-2 | Special Right Triangles page 360 page 366 page 372