Because of a certain wind, a boat sails 4728 feet in the direction S 47 degrees 29 seconds W. How far south has it gone? How far west has it gone?
The two distances are legs of a right triangle
Note 29 seconds = 29/3600 degrees
Distance south
cos ( 47 + 29/3600) = S / 4728 where S is the distance traveled south
Rearrange
S = 4728 *cos (47 + 29/3600) = about 3224 feet
Distance west
sin (47 + 29/3600) = W / 4728
Rearrange
W = 4728*sin(47 + 29/3600) = about 3458.3 feet