Los Angeles is located at 34.05° North latitude and 118.24° West longitude, and Rio de Janeiro, Brazil, is located at 22.90° South latitude and 43.23° West longitude (see figure). Assume that Earth is spherical and has a radius of 4000 miles.

(a) Find the spherical coordinates for the location of each city.
(b) Find the rectangular coordinates for the location of each city.
(c) Find the angle (in radians) between the vectors from the center of Earth to the two cities.
(d) Find the great-circle distance s between the cities.

(e) Repeat parts (a)-(d) for the cities of Boston, located at 42.36° North latitude and 71.06° West longitude, and Honolulu, located at 21.31° North latitude and 157.86° West longitude.

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Los Angeles Equator Prime meridian X Rio de Janeiro