The northing and easting coordinates for point C is most nearly: 

Solution:

Section the triangle and calculate using Pythagorean Theorem and the Law of Sine's or use the

calculator Pol() Rec() function.

A'~B = (585724.45 - 585234.45) = 490.00-ft

A~A' = (671588.23 - N 671488.23) = 100.00-ft

Pol(490,100) = 500.00  and 11.54°

B~C' = Rec(300,25.33°) = 271.15-ft

C~C' = Rec(300,64.67°) = 128.34-ft

Apply results to the coordinates (answer=d)

671588.23 - 271.15 = N 671317.08

585724.45 - 128.34 = E 585596.11