A lake is one hundred miles long in its north south extent. On a calm day a surveyor set a level between the southern-most edge of the lake and a nearby benchmark that has an NAVD88 elevation of 302.36 feet. The backsight reading on the benchmark was 1.56 feet. The foresight reading on the rod set at the shoreline at waters edge was 8.52 feet. The scaled latitude at the benchmark is 34 19'. Calculate the expected elevation of the lake at its northernmost edge by assuming that every second of latitude you travel averages 30 meters on the ground