Vancouver Canada is located at longitude 120 West and latitude50 North. It are 6,400 km from the center of the Earth. Pleaserealize that latitude is the angle measured from the equator, notfrom the north pole; and an angle west longitude is measuredclockwise from Greenwich, England, as seen looking down along theNorth pole. For the following, assume that the z axis is the polaraxis, with north being positive. The xz plane contains the polaraxis and passes through Greenwich; the equator lies in the xyplane.

(a) What are the coordinates of Vancouver in rectangular x, y,and z coordinates?

(b) What are the coordinates of Vancouver in cylindrical r, ?,and z coordinates?