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name: Geometry & Trigonometry exercises due Thursday, June 7, 2012 35. Convert 36◦ 520 3800 to decimal degrees (round to the nearest ten-thousandth degree) 36. Convert 81◦ to radians 37. semi-circle C 43◦ D A B center find values for angles A,B,C, & D 38. A central angle A intercepts an arclength of s = 1500 miles on a circle of radius 4000 miles. Find the measure of the angle A in radians. 39. A tiny rock is stuck on a the outer tread of a wheel of diameter 70 cm. If the wheel makes 9 revolutions every second, calculate the distance the rock spins through in an hour. 40. Write down the values of the six trigonometric functions of the angle A: ( sin A, cos A , etc.) 5 A 8 41. Suppose that tan A = 2 5 (a) Draw a right triangle showing the angle A and side lengths 2 and 5 in the correct positions. (b) Use the Pythagoras theorem to find the length of the last side of the triangle. (It’s OK to leave this as a square root) (c) Find the values of cos A and sin A.