Final answer:
The angular magnification of a telescope with an objective lens focal length of 506.9 cm and an eyepiece focal length of 2.69 cm is approximately 188.44.
Step-by-step explanation:
The angular magnification of a telescope is calculated by dividing the focal length of the objective lens by the focal length of the eyepiece. Given an objective lens with a focal length of 506.9 cm and an eyepiece with a focal length of 2.69 cm, the angular magnification of the telescope can be found using the following formula:
M = fobjective / feyepiece
Where M is the angular magnification, fobjective is the focal length of the objective lens, and feyepiece is the focal length of the eyepiece.
Plugging in the given values:
M = 506.9 cm / 2.69 cm
M ≈ 188.44
The absolute value of the angular magnification is 188.44, disregarding any negative sign that indicates the inversion of the image as is typical for a telescope.