Question

Two cities A and B are 1400km apart and lie on the same N-S line. The latitude of city A is 23 Degrees. What is the latitude of city B. The radius of the Earth is approximately 6400km.

Answer 1

Answer:

${\theta}=12.53 degrees$≈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, $S=r{\theta}$ where s is the distance between the two cities and r is the radius of the earth,thus substituting the values, we get

$1400=6400{\theta}$

⇒${\theta}=\frac{14}{64}$

Therefore, ${\theta}=\frac{14}{64}{\times}\frac{180^{{\circ}}}{{\pi}}$

⇒${\theta}=\frac{2520}{200.96}$

⇒${\theta}=12.53 degrees$

Thus, the latitude of B is=12.53 degrees≈13degrees