$Sherical Trig - Distance betwen two points on earth.$

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$Sherical Trig - Distance betwen two points on earth.$

Calculate the distance along the great circle between Vancouver (49°15'N, 123°6'W) and Palma de Mallorca (39°34'N, 2°39'E).

Trigonometry

Wcramsay

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Using great circle distance formula
$$d=R\cos^{-1}(\cos a\cos b\cos(x-y)+\sin a\sin b)$$ where a and b are latitudes and x and y are longitudes
Using the degree and minute relationship, we can write from the given data as follows:
$$a=+49.25^\circ, b=+39.566666^\circ,x=-123.1^\circ,y=+2.65^\circ$$
Assuming radius value as $R=6371\;km$ or you can take the value as per your book.
Substituting the values in the given expression and solving the simple trigonometric functions using calculator we get
$$d=\boxed{8799.03}\;km$$

Aman R

642

$Sherical Trig - Distance betwen two points on earth.$

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