Distance & Bearing Calculations for Towns A, B, C & D | Easy Guide"

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Homework Help Overview

The problem involves calculating the distance and bearing of town D from town A, given the positions of towns A, B, and C along a straight road, with town D located north of this road. The context includes the use of trigonometry and diagrammatic representation to solve the problem.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the placement of town D in relation to towns B and C, with some suggesting the use of triangles to visualize the problem. Questions arise regarding the distance between towns B and C and the correct application of bearings.

Discussion Status

The discussion has seen various attempts to clarify the problem setup, with some participants offering guidance on drawing diagrams and using trigonometric principles. There is a recognition of the challenges faced by the original poster, and encouragement is provided without reaching a consensus on the solution.

Contextual Notes

Participants express uncertainty about the placement of town D and the application of bearings, indicating a need for clearer understanding of these concepts. The original poster's struggle with bearings is noted, along with a supportive atmosphere among participants.

lionely
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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.
 

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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.
 
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...
 
lionely said:
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.
 
The problem is I'm an idiot haha, I'll try it again and get back to you.
 
. -------------------------------------------------- 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.
 
Last edited:
Mr.Dick, I thank you for your time and help, I solved the question and I will continue to practice this and master bearings!
 
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!
 
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.
 
  • #10
xD Okay I won't call myself an idiot anymore. and Thanks to everyone who helped me.
 

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