SOLUTION: Lucas sailed 11km due to south from P to Q, then sailed 16km due east to R. Find, correct to the nearest degree, the true bearing of: a. R from P b. P from R

Algebra ->  Trigonometry-basics -> SOLUTION: Lucas sailed 11km due to south from P to Q, then sailed 16km due east to R. Find, correct to the nearest degree, the true bearing of: a. R from P b. P from R      Log On


   



Question 1101044: Lucas sailed 11km due to south from P to Q, then sailed 16km due east to R. Find, correct to the nearest degree, the true bearing of:
a. R from P
b. P from R

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
P
\
\11
\
\---------16
\================R
from P to R is SE, and the tan of that angle is 16/11=1.4545
arc tan (1.4545) is 55.49 deg
R from P is 180-55.49 or 124.51 deg or 125 deg
================
P from R is the reciprocal or 305 deg.