Loading....
Coupon Accepted Successfully!

 

Bearings of a Point

Let EW be a line in the east–west direction and NS be a line perpendicular to it in the north–south direction. Let the two lines intersect at O. Let P be any point. The acute angle which OP makes with NS is called the bearing of the point P from O. The bearing of a point is briefly indicated by giving the size of the acute angle and specifying whether it is measured from ON or OS and whether to the east or west.
 
89791.png
  1. OA is in the direction 60° east of north and the bearing of A is written as N 60° E.
  2. OB is in the direction 30° west of north and the bearing of B is written as N 30° W.
  3. OC is in the direction 40° west of south and the bearing of C is written as S 40° W.
  4. OD is in the direction 75° east of south and the bearing of D is written as S 75° E.

mn Theorem

(m + n) cot θ = m cot αn cot β
= n cot Am cot B (θ on the right)
 
If θ is on the left then angle in the right is πθ and cot (πθ) = – cot θ. Hence in this case mn theorem becomes – (m + n) cot θ = m cot αn cot β = n cot A – m cot B (θ on the left)
 
89785.png




Test Your Skills Now!
Take a Quiz now
Reviewer Name