I need help with these 13 questions, thank you!

5. Find the value of each of the six trigonometric functions of the angle 0 in the figure. m we: (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Type an exact answer, using radicals as needed.) we: (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Type an exact answer, using radicals as needed.) we: (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Type an exact answer, using radicals as needed.) (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Type an exact answer, using radicals as needed.) (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Type an exact answer, using radicals as needed.) (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Type an exact answer, using radicals as needed.) 6. A Use the right triangle and the given information to solve the triangle. C b b =3, B=110; find a, c, and A B a a= (Round to the nearest hundredth as needed.) C= (Round to the nearest hundredth as needed.) A= (Round to the nearest tenth as needed.)7. Use the triangle shown on the right and the given information to solve the triangle. A b =2, A= 20; find a, c, and B b B a a= (Round to two decimal places as needed.) C= (Round to two decimal places as needed.) B = (Round to one decimal place as needed.)8. Use the triangle shown on the right and the given information to solve the triangle. A c= 8, B =40 ; find a, b, and A b B a a= (Round to two decimal places as needed.) b = (Round to two decimal places as needed.) A= (Round to one decimal place as needed.)9. A Use the right triangle and the given information to solve the triangle. C b a =2, c=4; find b, A, and B B a b = (Round to the nearest hundredth as needed.) A= (Round to the nearest tenth as needed.) B= o (Round to the nearest tenth as needed.)10. A right triangle has a hypotenuse of length 8 inches. If one angle is 43, find the length of each leg. The length of the shorter leg is |:| inches, and the longer leg is |:| inches. (Do not round until the nal answer. Then round to the nearest tenth as needed.) 11. Find the distance from A to C across the gorge illustrated in the figure. 20 C B 130 ft The distance from A to C is feet. (Do not round until the final answer. Then round to two decimal places as needed.)12. Find the height of the tower using the information given in the illustration. 84.058 .... . 110 ft The height of the tower is feet. (Do not round until the final answer. Then round to two decimal places as needed.)13. Suppose that you are headed toward a plateau 20 m high. If the angle of elevation to the top of the plateau is 10, how far are you from the base of the plateau? The plateau is |:| meters away. (Do not round until the nal answer. Then round to two decimal places as needed.) 14. A building that is 60 feet tall casts a shadow 20 feet long. What is the angle of elevation of the Sun? The angle of elevation is |:| degrees. (Round to the nearest tenth as needed.) 15. A state trooper is hidden 30 feet from a highway. One second after a truck passes. the angle 9 between the highway and the line of observation from the patrol car to the truck is measured. See the illustration. Complete parts (a)(c). (a) If the angle measures 15. how fast is the truck traveling? Express the answer in feet per second and in miles per hour. If the angle measures 15, the speed of the tank is |:| feet per seoond. (Do not round until the nal answer. Then round to two decimal places as needed.) If the angle measures 15, the speed of the tmck is |:| miles per hour. (Use the answer from part (a) to nd this answer. Round to one decimal place as needed.) (b) If the angle measures 27, how fast is the truck traveling? Express the answer in feet per second and in miles per hour. If the angle measures 27, the speed of the truck is |:| feet per second. (Do not round until the nal answer. Then round to two decimal places as needed.) If the angle measures 27, the speed of the truck is |:| miles per hour. (Use the answer from part (b) to nd this answer. Round to one decimal place as needed.) (c) If the speed limit is 55 miles per hour and a speeding ticket is issued for speeds of 5 miles per hour or more over the limit, for what angles should the trooper issue a ticket? The trooper should issue a ticket when the angle is equal to or less than |:|. (Round to the nearest tenth as needed.) 16. A security camera in a neighborhood bank is mounted on a wall 7 feet above the floor. What angle of depression should be used if the camera is to be directed to a spot 4 feet above the floor and 12 feet from the wall? The angle of depression should be (Round to the nearest tenth as needed. Do not include the degree symbol in your answer.)17. A blimp, suspended in the air at a height of 400 feet, lies directly over a line from a sports stadium to a planetarium. If the angle of depression from the blimp to the stadium is 40 and from the blimp to the planetarium is 26, nd the distance between the sports stadium and the planetarium. The distance between the sports stadium and the planetarium is |:| feet. (Round to two decimal places as needed.)