Final answer:
The distance to the star using the parallax method and the given angles is not among the provided options, as the actual distance is typically measured in light-years, far exceeding the distances given in the options.
Step-by-step explanation:
The student's question involves determining the distance to a star using the parallax method, which involves measurements from Earth six months apart when the Earth is on opposite sides of its orbit around the Sun. Given that one angle of the right triangle is 90 degrees and the other is 89° 59' 58.7", we can use the small angle approximation to solve for the distance to the star. Since the total angle sum of a triangle is 180°, the parallax angle is approximately 1.3 arcseconds (the difference between 90° and the given angle). When Earth's orbit around the Sun is the base of the triangle (making it the base of our right triangle), and the distance from the Earth to the Sun is 93 million miles, the distance to the star can be calculated using trigonometry. However, because the parallax angle is so small, the distance to the star will be enormously large, much greater than the options provided. None of the options A to D are large enough to represent the actual distance to a star, which is typically many light-years away. Therefore, none of the answer choices provided are correct.