To solve this problem we will apply the concept given by Pythagoras in the description of the lengths of the legs of a rectangular triangle and if equality against the square of the hypotenuse, that is
[tex]a^2+b^2=c^2[/tex]
Here,
a, b = Legs of a triangle
c = Hypotenuse
According to the attached chart then we would have to
[tex]a=x\\b = 6370km\\c = 600+6370km = 6970km[/tex]
Substituting the given the lengths into the Pythagorean Theorem.
[tex]a^2+b^2 = c^2 \\x^2 +(6370)^2 = (6970)^2\\x = 2829.13km \approx 2830km[/tex]
Therefore the distance x is 2830km.
