In computing state plane coordinates for a project

area whose mean orthometric height is $844\mathrm{.}47$ sft $,$ an

average scale factor of $0\mathrm{.}99998377$ was used. The

average geoid height for the area is $-32\mathrm{.}484$ m $.$ The

given distances between points in this project area

were computed from SPCS $83$ state plane

coordinates. $($Use $6,371,000$ m for an average radius

for the Earth.$)$

What horizontal length would have to be observed to lay off a $565\mathrm{.}79$ sftsft line on the grid?

Express your answer in survey feet to five significant figures.

What horizontal length would have to be observed to lay off a $268\mathrm{.}054$ mm line on the grid?

Express your answer in meters to six significant figures.

What horizontal length would have to be observed to lay off a $2441\mathrm{.}25$ sftsft line on the grid?

Express your answer is survey feet to six significant figures.