How to draw a a point x is 34m due east of point y. The bearing of a flag pole from x and y are N 18 W and N40E respectively. Calculate the distance of the flag pole from x and y

Question

How to draw a a point x is 34m due east of point y. The bearing of a flag pole from x and y are N 18 W  and N40E respectively. Calculate the distance of the flag pole from x and y

oobleck · Accepted Answer

I assume you have some graph paper. Plot the points Y=(0,0) and X=(34,0)
Construct the two angles at X and Y, and their intersection will be at the pole, P.
Now, in triangle XYP, you have
X = 90-18 = 72°
Y = 90-40 = 50°
so Z = 58°
Now use the law of since

XP/sinX = YP/sinY = 34/sinZ

faruq · Answer

draw a line from x to y