here distance between two meteor is considered to be in straight arc of distance
d = 8000 miles
angle subtended at our position is given as
[tex]\theta = 10 degree[/tex]
[tex]\theta = 10 * \frac{\pi}{180} = \frac{\pi}{18}[/tex]
now we can use the equation
[tex]angle = \frac{arc}{distance}[/tex]
now we can substitute all values in it
[tex]\frac{\pi}{18} = \frac{8000}{d}[/tex]
[tex]distance = 45836.6 miles[/tex]
so the distance is 45836.6 miles
