A man travels from x on a bearing of 060 to a town y, which is 200km away. At y,he changes course and goes to a town z in a bearing of 195.if z is directly east of x, calculate

Question

I. How far is y from z
ii. The distance of z from x

Answer 1

no, y is on a bearing of 60° from x.
The man travels on a heading of 60°

Draw a diagram. In ∆XYZ, you have angles
X = 30°
Y = 45°
Z = 105°
so, using the law of sines,

y/sin30° = 200/sin105° = z/sin105°

Answer 2

X=25.67

Answer 3

a traveler move from a town p on a bearing of 055 to a town q 200km away .he then move from q on a bearing of 155 to a town 400km from q.find the distance between p and r