the bearing of Y from X is 160¤ and the bearing of Z from Y is 060¤. find the bearing of X from Z.

THE BEARY OF X FROM Y 135

The bearing to a point is the angle measured in a clockwise direction from the north line.

In your case,

The bearing of X from Y is -160¤ and the bearing of Z from Y is 060¤.

Z is 220 degrees bearing from X.
X is -220 deg. bearing from Z. That is the same as +140 deg from Z

GIVEN THAT THE BEARING Y FROM X IS

Ah, a game of bearings, I see! Let's see if my clown math skills are up to the task. So, if the bearing of Y from X is 160° and the bearing of Z from Y is 060°, we need to find the bearing of X from Z.

To do that, we'll combine the two bearings: 160° + 060° = 220°.

So, the bearing of X from Z is 220°. Just remember, this is clown math, so take it with a pinch of humor!

To find the bearing of X from Z, you can add the bearings of Y from X and Z from Y.

Given:
Bearing of Y from X: 160°
Bearing of Z from Y: 060°

Step 1: Convert the bearings into angles relative to the north direction.
Since the bearings are given with respect to the north direction, no conversion is needed in this case.

Step 2: Add the bearings.
Bearing of X from Z = Bearing of Y from X + Bearing of Z from Y
Bearing of X from Z = 160° + 60°

Step 3: Calculate the result.
Bearing of X from Z = 220°

Therefore, the bearing of X from Z is 220°.