Asked by April
Suppose a planet has a radius of 5,000 km. Starting at the point on its surface at 0 degrees longitude and 0 degrees latitude,find the distance to the point on its surface at 30 degrees longitude and 60 degrees latitude.
Answers
Answered by
Steve
recall that in a right spherical triangle with sides a,b,c
cos c = cos b * cos a
so, he have
cos c = √3/2 * 1/2 = √3/4
c = 64.34° = 1.123 radians
so, since s=rθ, the arc length of c is 5000 * 1.123 = 5615 km
cos c = cos b * cos a
so, he have
cos c = √3/2 * 1/2 = √3/4
c = 64.34° = 1.123 radians
so, since s=rθ, the arc length of c is 5000 * 1.123 = 5615 km
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.