A Point X is 34m due east of a point Y.The bearings of a flagpole from X and Y are N18degreeW N40degreeE respectively. Calculate the distance of the flagpole from Y

6 answers

Draw the diagram. If we label the flag pole P, then in triangle XYP, we have
angle X = 72°, Y = 50°, so angle P=58° since they add up to 180°.
So, using the law of sines and the usual labeling of sides (p = side XY, opposite P),
y/sinY = p/sinP
So plug in your numbers.
34/sin58 = 40 m.
x/sin72 = 40
x =

y/sin50 = 40
y =
Solve the question
3.8
The answer is 38.1m
38.13m