1. What is the geometric mean between and 12? A. B. C. D. Hint 2. Find the value of y. A. 9 B. 24 C. 2 D. Hint 3. The length of a diagonal of a square is 20 centimeters. Find the length of a side of a square. A. cm B. cm C. 10 cm D. cm Hint 4. Find the value of x to the nearest tenth. A. 13.2 B. 47.2 C. 21.2 D. 15.6 Hint 5. Caving While surveying Overlook Cave, Mike measures the angle of elevation from his line of sight to the top of a rock formation as 22°. The rock formation is 10 feet away and he is measuring from a point 3 feet above the floor of the cave. To the nearest tenth of a foot, how high is the rock formation? A. 7.0 ft B. 4.0 ft C. 24.8 ft D. 27.8 ft Hint 6. Which of the following special right triangles can have a Pythagorean triple as the lengths of its sides? A. neither a 45°-45°-90° triangle nor a 30°-60°-90° triangle B. both a 45°-45°-90° triangle and a 30°-60°-90° triangle C. a 30°-60°-90° triangle D. a 45°-45°-90° triangle Hint 7. Find the value of sin 87° to the nearest thousandth. A. 0.999 B. 0.052 C. 19.08 D. -0.822 Hint 8. Jessica is standing 20 feet away from a skyscraper in New York when she measures the angle of elevation to the top of the building as 88.8°. To the nearest foot, how tall is the building? A. 20 feet B. 48 feet C. 477 feet D. 955 feet Hint 9. In MAT, mM = 35, mA = 70, and t = 8. Find m to the nearest tenth. A. 4.8 B. 15 C. 7.8 D. 8.2 Hint 10. In GIF, mI = 72, I = 23, and g = 19. Find f to the nearest tenth. A. 26.3 B. 19 C. 27.8 D. 20.1 Hint 11. In WXY, w = 38, x = 49, and y = 22. Find mY to the nearest tenth. A. 154.5 B. 106.4 C. 25.5 D. 48.1 Hint 12. Raul lives in Middleburg. He wants to find the distance between Easton and Westerville. He knows that Easton is 5.7 miles from Middleburg, that Westerville is 9.3 miles from Middleburg, and that the angle formed by the two lines (from Middleburg to Westerville and from Middleburg to Easton) is 69.4°. To the nearest tenth of a mile, what answer should Raul come up with? A. 9 miles B. 9.6 miles C. 4.1 miles D. 12.5 miles Hint 13. Find n. A. 15 B. 11 C. D. 3 Hint 14. Find s. A. 10 B. 10 C. 2 D. 5 Hint