A cyclist start from a point X and rides 5km due East to a point Y.It changes direction and rides 8km South_East to a point Z.How far is he from the starting point correct to the nearest km.(2)Find the bearing of Z from X to the nearest degree.

Answer 1

Did you make your sketch?
On mine I see the cosine law popping up ....
d^2 = 5^2 + 8^2 - 2(5)(8)cos135·
= ....
d = √.....

for the angle at X,
sinX/8 = sin135°/d
sinX = 8sin135/d
X = ...

Answer 2

How did you get 135°