#### richiesmasher

##### Junior Member

- Joined
- Dec 15, 2017

- Messages
- 111

Hi, I don't have much of an attempt here, but here goes nothing:

I'm trying to find the angle x marked in red, just trying to figure out methods using rules such as angles in a triangle, alternate etc.

I have two bearings marked in orange from Point X to points R and S which are 270 and 210 degrees respectively.

My thoughts are, angle RXS is actually 60 degrees, because of the bearing of S from X which is 210 degrees, and as you can see the 90 degree angle completes the full 360, so that is how I deduced this.

Angle TSX is 25 degrees because it's an alternate angle of the angle of depression of S from T which is also 25 degrees.

I'm racking my brain trying to see how I can single out x, I know it must be 25 minus something... but what?

All angles are in degrees by the way.

The question really asks to find the length of RS but I can do that easily once I have angle x in red.

I'm trying to find the angle x marked in red, just trying to figure out methods using rules such as angles in a triangle, alternate etc.

I have two bearings marked in orange from Point X to points R and S which are 270 and 210 degrees respectively.

My thoughts are, angle RXS is actually 60 degrees, because of the bearing of S from X which is 210 degrees, and as you can see the 90 degree angle completes the full 360, so that is how I deduced this.

Angle TSX is 25 degrees because it's an alternate angle of the angle of depression of S from T which is also 25 degrees.

I'm racking my brain trying to see how I can single out x, I know it must be 25 minus something... but what?

All angles are in degrees by the way.

The question really asks to find the length of RS but I can do that easily once I have angle x in red.

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