Question

Two towns, X and Y, are 25 km apart, with Y being due north of X. Town Z is due east of X and 60 km away. Draw a picture and find the distance and bearing of Y from Z??

Answer 1

\(?=\sqrt{25^2+60^2}\)

Answer 2

Thank-you. How would i then find the bearing of Y from Z?

Answer 3

Pythagorean Theorem, you have 2 sides and a right triangle. That is very important to learn for the future.

Answer 4

I will be sure to remember it. What about the bearing?

Answer 5

@Johnbc

Answer 6

Bearing refers to the angle around the points we are looking at

Answer 7

For example

Answer 8

Since you have a right angle triangle you can find the angles within the triangle and I believe those are the bearings

Answer 9

Law of sines may be helpful
\[\frac{ Sin A }{ a }=\frac{ SinB }{ b }=\frac{ SinC }{ c }\]

Answer 10

I thought it was the other way around.

Answer 11

same thing

Answer 12

Yes it can be both ways as long as you are consistent throughout

Answer 13

oh ok

Answer 14

\(\frac{a}{b}=\frac{c}{d}\iff\frac{b}{a}=\frac{d}{c}\)

Answer 15

assume they are not 0

Answer 16

ok