Answer: 25 m
Explanation:
The resolving power of a telescope is given by:
![\theta = 1.22\frac{\lambda}{diameter}](https://tex.z-dn.net/?f=%20%5Ctheta%20%3D%201.22%5Cfrac%7B%5Clambda%7D%7Bdiameter%7D)
Diameter of the telescope = 10.0 m
Wavelength of the telescope = 550 nm = 550 ×10⁻⁹m
Thus, the resolving power of one of telescopes at the Keck Observatory is:
![\theta = 1.22 \frac{550\times 10^{-9}}{10.0} =671 \times 10^{-10} rad = 3.85 \times 10^{-6} deg](https://tex.z-dn.net/?f=%20%5Ctheta%20%3D%201.22%20%5Cfrac%7B550%5Ctimes%2010%5E%7B-9%7D%7D%7B10.0%7D%20%3D671%20%5Ctimes%2010%5E%7B-10%7D%20rad%20%3D%203.85%20%5Ctimes%2010%5E%7B-6%7D%20deg)
Also, ![tan\theta = \frac {\text {separation between two objects}}{\text{distance to the objects}}](https://tex.z-dn.net/?f=%20tan%5Ctheta%20%3D%20%5Cfrac%20%7B%5Ctext%20%7Bseparation%20between%20two%20objects%7D%7D%7B%5Ctext%7Bdistance%20to%20the%20objects%7D%7D%20)
separation between objects = tan (3.85×10⁻⁶)° × 3.8×10⁵km = 2.5 × 10⁻²km =25 m
1 AU ~150,000,000 km/160 km/h, which gives you hours.
24 hours in a day...
365 days in a year...
If you are planning on a return trip plan on your 5 to 6x great grandchildren picking you up at the space port.
Just put a full picture clearly we can’t really see