Many Thanks <3 31. Radius of the Moon As viewed from the carth, the angle subten

Question

Many Thanks <3

31. Radius of the Moon As viewed from the carth, the angle subtended by the full moon is 0.518. Use this information and the fact that the distance AB from the carth to the moon is 236,90) mi to find the radius of the moon 0.518 32. Distance Between Two Ships A pilot measures the angles of depression to two ships to be 40° and 52 (see the figure). If the pilot is flying at an elevation of 35,000 ft, find the dis- tance between the two ships. X52 Values ex value. 9T 33. sin 315 35. tan 35) 34. cSC 36. cos 5 37. cot 38. sin 405 22m Sm 39. cos 585 40. sec 1.csc 237 42. sec 43. cot-390°) 44. tan 45. Values of Trigonometric Functions trigonometric ratios of the angle point (-5, 12) is on the terminal side of ? Find the values of the six in standard position if the 46. Values of Trigonometric Functions Find sin 0 if 0 is in stan- dard position and its terminal side intersects the circle of radius I centered at the origin at the point -V3/2, 1) 47. Angle Formed by a Line Find the acute angle that is formed by the line y - V3x+0and the x-axis. Values of Trigonometric Functions ratios of the angle 0 in standard position if its terminal side is in Quadrant III and is parallel to the line 4y - 2r-10 48. Find the six trigonometric 49-52Expressing One Trigonometric Function in Terms of Another write the first expression in terms of the second, for ? in the given quadrant. 49, tan ?, cos ?; ? in Quadrant 11 50. sec . sin ?: ? ?n Quadrant III 51, tan2, sin ?; ? in any q 52. cselg cosa, sin ?; ? in any quadrant uadrant

Explanation / Answer

31. theta = 0.518/2 = 0.259 degree

Let the radius of moon = r miles

And sin theta = radius/236900

sin 0.259 = r/ 236900

r = 236900 sin 0.259 = 1071 mi

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