Use the following diagram (not drawn to scale) for questions 59-61.
A regular pentagon with sides of length 6 is inscribed in a circle.
39. What is the length of the apothem of the pentagon above?
A. 0.975 B. 2.180 C. 4.129 D. 8.258 E. 9.233
40. What is the area of the pentagon above?
A. 14.625 B. 32.7 C. 61.935 D. 123.87 E. 138.495
41. What is the area of the shaded region above?
A. 19.906 B. 42.029 C. 49.141 D. 56.654 E. 67.216
42. What is the sum of the measures of the interior angles of an 18-gon?
A. 2700° B. 2880° C. 3060° D. 3240° E. 3420°
43. What is the measure of each interior angle of a regular 18-gon?
A. 150° B. 160° C. 170° D. 180° E. 190°
44. What is the measure of each exterior angle of a regular 18-gon?
A. 20° B. 30° C. 40° D. 50° E. 60°
45. What is the total number of diagonals that can be drawn in a decagon?
A. 35 B. 40 C. 45 D. 50 E. 55
46. If each interior angle of a regular polygon is 150°, how many sides does the polygon have?
A. 8 sides B. 9 sides C. 10 sides D. 11 sides E. 12 sides
47. Each interior angle of a regular polygon is eight times the measure of each exterior angle. How many sides does this regular polygon have?
A. 9 sides B. 10 sides C. 11 sides D. 18 sides E. 19 sides
48. A right triangle has legs of 7 and 15. What is the measure of the smallest angle in the triangle?
A. 16.553° B. 25.017° C. 27.818° D. 62.182° E. 64.983°
49. From a point 80 meters from the base of a tower, the angle of elevation to its top is 63°. Find its height.
A. 36.319m B. 40.762m C. 80.000m D. 157.009m E. 176.215m