The conversion of a whole circle bearing 170°30' into quadrantal bearing is:?

Option 2 : S 9°30' E

Concept:

Whole circle Bearing system:

• In this system, the bearing of the line is measured from the north in the clockwise direction.
• Thus whole circle bearing system (WCB) of a line is the horizontal angle that the line makes with the north end of the reference meridian.
• The WCB of a line can vary from 0° to 360°.

Quadrantal Bearing system:

• The quadrantal bearing (QB) of a line is the acuate angle that the line makes with the meridian.
• Quadrantal bearing is measured either from the north end or south end as the case may be i.e. whichever is nearer to the line.
• The quadrantal bearing of a line can vary from 0° to 90°.

Conversion table for WCB and QB:

Calculation:

Given data,

WCB: θ = 170°30'  (θ = 90° to 180° )

So,

QB = S(180° - θ)E

QB = S(180° - 170°30')E = S 9°30' E