The length of a traverse leg may be obtained by multiplying the latitude and

ANS:A - secant of its reduced bearing

Given answer is correct. Latitude is equal to product of length and cosine. So by multiplying secant with latitude it remains only length because secant is inverse of cosine. Latitude (L) =l cos.
So,
If we find the length.
l*1/cos.
That is l*sec.
So, the given answer is right. L = (latitude square + departure square) rest to 0.5. Latitude = Length * cosine then,
Length = Latitude * 1/cosine,
Hence, Length=Latitude * secant.
So, the given answer is right. Latitude= L* COS θ.
so, L=latitude * sec θ.