Write a program that computes the spherical distance between two points on the surface of the Earth, given their latitudes and longitudes. This is a useful operation because it tells you how far apart two cities are if you multiply the distance by the radius of the Earth, which is roughly $6372\mathrm{.}795$ km$.$Let $41,1,$ and P$2,1,$ be the latitude and longitude of two points, respectively. $1,$ the longitudinal difference, and Ao$,$ the angular difference$/$distance in radians, can be determined as follows from the spherical law of cosines:$$Ao $=$ arccos$($sin P$,$ sin $42+$ cos $4,$ cos $4,$ cos AN$$For example, consider the latitude and longitude of two major cities:

$$Nashville$,$ TN: N $36\backslash$deg $7\mathrm{.}2\text{'},$ W $86\backslash$deg $40\mathrm{.}2\text{'}$

$$Los Angeles, CA: N $33\backslash$deg $56\mathrm{.}4\text{'},$ W $118\backslash$deg $24\mathrm{.}0\text{'}$

You must convert these coordinates to radians before you can use them effectively in the formula. After conversion, the coordinates become

$$Nashville: $41=36\mathrm{.}12\backslash$deg $=0\mathrm{.}6304$ rad, A$,=-86\mathrm{.}67\backslash$deg $=-1\mathrm{.}5127$ rad

$$Los Angeles: $92=33\mathrm{.}94\backslash$deg $=0\mathrm{.}5924$ rad, $42=-118\mathrm{.}40\backslash$deg $=-2\mathrm{.}0665$ rad

Using these values in the angular distance equation, you get

rAo $=6372\mathrm{.}795$ X $0\mathrm{.}45306=2887\mathrm{.}259$ km

Thus, the distance between these cities is about $2887$ km$,$ or $1794$ miles. Note: To solve this problem, you will nec to use the Math. acos method, which returns an arccosine angle in radians.$)$