In a spherical triangle, c< a+b
I have to talk about this subject in an oral exam for about ten minutes. I don't know how I should explain it.
If you know about a good example too, related to this subject of cource, I would really appreciate it.
Thank you so much, I did it right, you are a genius.
The radius of the 66° latitute is 6370*cos(66) = 2590.9 km
The circumference of 66° latitute is 2590.9*pi*2=16279 km
the angle between places A and B is 110°
so the answer is
(110/360) * 16279 = 4974 km
Ahh, I'm getting closer,
I think the radius of the 66° latitute is (6370/90)*66 = 4671.
I don't know what to do next. I think I have to find the angle between places A and B and divide it by 360 and multiply by the new radius, 4671.
I don't unerstand how to take a point on the...
The radius of the earth is 6370 km.
I know how to calculate the great circle (the shortest distance). This is how I did that.
a = 90-66 = 24
b = 90-66 = 24
C = 20+90 = 110
I put these numbers into the formula
cos(c) = cos(a)cos(b) + sin(a)sin(b)cos(C)
which gives me c = 0.7779...
Two places, A (66°N and 20°W) and B (66°N and 90°A). Find the distance between them if you go along the 66° latitude (rhumb line).
The Attempt at a Solution
The answer is 4972 km but I don´t know how to calculate this. Please help me.
I have a spherical triangle with the radius 1, and I have tried so hard to find the surface area. I know that A=120°, b=90° and c=60°.
I could calculate that B=73.89° and C=56.31° and a=115.66°.
I think I should use the formula
(ABC) = (A + B + C - pi) r2
I always get the...