A vessel at LAT 14°10'N, LONG 61°00'W is to proceed to LAT 10°00'N, LONG 53°23'W. What is the course and distance by mid-latitude sailing?

Correct Answer: Option A — 119.2°T, 512.0 miles

Mid-latitude sailing uses the departure and arrival positions to find middle-latitude ($L_m$), difference of latitude ($l$), and departure ($p$). Using Bowditch navigational formulas, calculating $p = D\text{Lo} \cos(L_m)$ produces course $119.2^\circ\text{T}$ and distance $512.0$ miles.