Finding distance and bearing of town D from town A

[lionely]

1. Three towns A,B and C lie on a straight road running east from A. B is 6km from A and C is 22km from A. Another town D lies to the North of this road and it lies 10km from both B and C. Calculate the distance of D from A and the bearing of D from A.
3.Well, I am terrible at drawing the diagrams here is my attempt.
I'm not sure where to put D, please be patient with me.

 

[Dick]

Don't worry about the diagram. It's pretty clear from the description. But the distance between B and C is 16km, right? It's just a trig problem isn't it? Draw some triangles.

 

[lionely]

The thing is, I'm not sure where to put D, for some reason I have a lot of problems doing bearings, it's weird I could do vectors and matrices without much problem...

 

[Dick]

The thing is, I'm not sure where to put D, for some reason I have a lot of problems doing bearings, it's weird I could do vectors and matrices without much problem...

D must be midway between B and C, but some distance above on your diagram (North), yes? I'm not sure what your problem is.

 

[lionely]

The problem is I'm an idiot haha, I'll try it again and get back to you.

 

[civilsurveyor]

. -------------------------------------------------- D
------------------------------------- 10km--------l-----10km
l
A------------6km---------------B--------------16km---------------C

draw lines from B to D and from C to D and then a line from D to the line from B to C
now you have two right triangles, complete the square, or law of sines.
the 10km value is the hypotenuese.

 

[lionely]

Mr.Dick, I thank you for your time and help, I solved the question and I will continue to practice this and master bearings!

 

[saxen]

Don't call yourself a idiot just becuase you are stuck. You go to school to learn right? You can't know everything up front!

 

[Jadaav]

Don't call yourself an idiot, or you'll truly become one;) You need to have confidence in yourself that you can become good and overcome all obstacles.

Humans are prone to make errors and everyone definitely did one.

 

[lionely]

xD Okay I won't call myself an idiot anymore. and Thanks to everyone who helped me.