Question

PLEASE HELP! LAST PROBLEM! :D A straight road is to be constructed joining two towns A and B. If B is located 44 miles to the west and 30 miles to the south of A, find the length of the road and its bearing from A to B.
The bearing from A to B is
a. S 43 degrees W
b. S 47 degrees W
c. S 56 degrees W
d. S 34 degrees W

Answer 1

draw a diagram



to find the length of the road use pythagoras' theorem

\[x^2 = 44^2 + 30^2\]

solve for x

find the angle theta it will be the size of the angle south of west

\[\tan(\theta) = \frac{30}{44}\]

solve for theta

\[\theta = \tan^{-1}\frac{30}{44}\]

hope this helps