1. Wayne used the diagram to compute the distance from Ferris, to Dunlap, to Butte. How much shorter is the distance directly from Ferris to Butte than the distance Wayne found? 2. a. 3. 15 mi Ferris b. Dunlap 20 mi 20 mi a. 12 Butte 45 b. 25 mi A triangle has sides of lengths 6. 8, and 10. Is it a right triangle? Explain. yes: 6 +8 a. 10 C. no: 6 +8 10 no; 6 +8 = 10 d. yes: 6 +8= 10 Find the length of the hypotenuse. b. 6 c. 10 mi 35 d. 5 35 mi d. 18 4. 5. In triangle ABC, ZA is a right angle and m/B=45. Find BC. If your answer is not an integer, leave it in simplest radical form. A B A Not drawn to scale a. 22 ft 11 At n a. 128 b. 22-2 At Find the length of the leg. If your answer is not an integer, leave it in simplest radical form. 16 45 Not drawn to scale C. 11 ft b. 8-2 d. 11-/2At c. 16 d. 22 6. 7. a. 2 60 30 12 Not drawn to scale 20-3 Not drawn to scale a. x= 10-3.y=30 b. x=10, y = 30-3 b. 12-3 J C. 112 c. x=30-3.y=10 d.x=30, y = 10-3 X= d. 63 8. 9. Write the ratios for sin X and cos X. X a. a. 5 N b. sin X= N 21 sin X = RE tan P 119 b. tan P= 5 Write the tangent ratios for ZP and 20. P 20 119,cos X= 5 Not drawn to scale 119 .cos X= 29 21 20 tan Q = 211 tan Q = 29 21 119 a Y C. c. sin X= d. sin X = tan P= d. tan P = 20 119 5 119.co 20 12 .cos X= .cos X= tan Q = tan Q = 8588 20 21 20 29 12 119 5 10. Use a trigonometric ratio to find the value of x. Round your answer to the nearest tenth. a x 20 3.3 9 Not drawn to scale: b. 3.1 c. 24.7 d. 8.5