K(lat 60 degree N,long 50 degree W) is apoint on the earth surface l is another pointdue east of k and the third point N is due South of k The distance kl is 3520km and KN is 10951km.calculate the long of c,the latitude of N

Question

K(lat 60 degree N,long 50 degree W) is apoint on the earth surface l is another pointdue east of k and the third point N is due South of k The distance kl is 3520km and KN is 10951km.calculate the long of c,the latitude of N

Answer 1

Well, it seems like point C is the point where KL and KN intersect. Since point C is formed by the intersection of two lines, we can use a bit of geometry to determine its location.

First, let's find the latitude of point N. Since K is at 60 degrees N, and N is due south of K, the latitude of N would be 60 - 90 = -30 degrees. So, the latitude of N is -30 degrees.

Next, let's find the longitude of point C. Since K is at 50 degrees W, and L is due east of K, the longitude of L would be 50 + 180 = 230 degrees W. Now, using the distance KL, which is 3520 km, we can calculate the longitude of C using the formula:

longitude of C = longitude of L + (distance KL / (cosine of latitude of K))

Let's plug in the values:

longitude of C = 230 + (3520 / cos(60))

Now, let's calculate it:

longitude of C ≈ 230 + (3520 / 0.5)
longitude of C ≈ 230 + 7040
longitude of C ≈ 7270 degrees W

So, the longitude of point C would be approximately 7270 degrees W.