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Chapter 13 Mid-Chapter Quiz 1. Fill in the Unit Circle Template. Evaluate without using a calculator. 4. 2. 3. Solve for x to the nearest degree. Find the values of x and y. 5. Solve using the diagram and the given measurements. (The triangle is not drawn to scale.) A = 31 , a = 12 Evaluate the function without using a calculator. 14. cos a. b. 0 c. d. 1 6. A ladder 20 feet long makes an angle of 59 with the ground as it leans against a house. How far up the side of the house does the ladder reach? 15. An athlete throws the javelin at an angle of 37 with an initial velocity of 71 feet per second. How far does the javelin go? 7. Which of the angles are coterminal? 16. Without using a calculator, find the exact value of 8. Convert to radian measure. a. 9. Convert b. to degree measure. c. 10. Find the arc length of a sector with a radius of 8 feet and a central angle of 60 . d. 11. A circular ice rink is divided into three equal sectors. The radius of the ice rink is 120 feet. a. What is the measure of the central angle of one sector of the ice rink in degrees and radians? b. Find the area of one sector of the ice rink. c. Describe another method to find the area of one sector of the ice rink. Compare the two methods. Solve the equation for three significant digits. 12. The point . Find is the terminal side of an angle . 13. Find the reference angle for –309 . Round your answer to 17. 18. You are flying a kite and want to know its angle of elevation. The string on the kite is 40 meters long and the kite is level with the top of a building that you know is 28 meters high. Use an inverse trigonometric function to find the angle of elevation of the kite.