Questions: Question 27 (1 point) Line AB=N 56° 32′ 47″ E Instrument B, BS "A", FS "C", HR = 105° 11′ 45″ Instrument C, BS "B", FS "D", HR = 71° 16′ 23″ What is the azimuth of line BA? 236° 32′ 47″ 56° 32′ 47″ 303° 27′ 13″ 123° 27′ 13″

The answer is the first one: \(236^\circ 32' 47''\).

Explanation:

1. Understanding Azimuths:

   • Azimuths are measured clockwise from the north.
   • The azimuth of line \(AB\) is given as \(N 56^\circ 32' 47'' E\).

2. Finding Azimuth of Line \(BA\):

   • The azimuth of line \(BA\) is the reverse of line \(AB\).
   • To find the reverse azimuth, add \(180^\circ\) to the azimuth of \(AB\).

3. Calculation:

   • Azimuth of \(AB\) = \(56^\circ 32' 47''\).
   • Reverse azimuth of \(BA\) = \(56^\circ 32' 47'' + 180^\circ = 236^\circ 32' 47''\).

4. Verification of Options:

   • \(236^\circ 32' 47''\) is the correct reverse azimuth.
   • \(56^\circ 32' 47''\) is the azimuth of \(AB\), not \(BA\).
   • \(303^\circ 27' 13''\) and \(123^\circ 27' 13''\) do not match the calculated reverse azimuth.

In summary, the azimuth of line \(BA\) is \(236^\circ 32' 47''\).