- #1
toughcanesrock
- 6
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Homework Statement
What is the area of a triangle on Earth that goes from the North Pole down to the equator, through the prime meridian, across the equator to 30 degrees east longitude, then back up to the equator? The radius of the Earth is about 6378 km.
Homework Equations
alpha + beta + gamma = pi + (A/R)
r' = Rsin(r/R)
dA = R*sin(r/R)*dtheta
The Attempt at a Solution
I am having trouble with knowing how to go about solving this. I'm not 100% sure these equations would even help me get to the answer. I think some of my trouble is with understanding the wording of the problem. But even if I knew exactly what the triangle looked like, I would only know the radius of the earth, the length of equator line portion of the triangle, and possibly the spherical length from the north pole to the equator.