Answer:
[tex]{\theta}=12.53 degrees[/tex]≈13degrees
Step-by-step explanation:
It is given that Two cities A and B are 1400km apart and lie on the same N-S line. The latitude of city A is 23 Degrees. Then,
Using the formula, [tex]S=r{\theta}[/tex] where s is the distance between the two cities and r is the radius of the earth,thus substituting the values, we get
[tex]1400=6400{\theta}[/tex]
⇒[tex]{\theta}=\frac{14}{64}[/tex]
Therefore, [tex]{\theta}=\frac{14}{64}{\times}\frac{180^{{\circ}}}{{\pi}}[/tex]
⇒[tex]{\theta}=\frac{2520}{200.96}[/tex]
⇒[tex]{\theta}=12.53 degrees[/tex]
Thus, the latitude of B is=12.53 degrees≈13degrees
