Two limbs of a vertical chevron fold strike S70E and N55E. The value o...
Given information:
- Two limbs of a vertical chevron fold strike S70E and N55E.
- The value of the interlimb angle of the fold is to be determined.
Understanding the problem:
A vertical chevron fold is a type of geological fold where the limbs of the fold are inclined at an angle to the horizontal plane. The strike of a fold refers to the direction of the line formed by the intersection of the fold's axial plane with the horizontal plane. The interlimb angle of a fold is the angle between the two limbs of the fold.
Solution:
To determine the interlimb angle of the fold, we need to calculate the angle between the two limbs based on their strike directions.
Step 1: Determine the dip direction of each limb
- The strike of the first limb is S70E, which means it strikes in a direction 70 degrees east of south.
- The strike of the second limb is N55E, which means it strikes in a direction 55 degrees east of north.
Step 2: Calculate the dip direction of each limb
- The dip direction of a limb is always perpendicular to its strike direction.
- The dip direction of the first limb would be perpendicular to S70E, which is S20W (90 degrees clockwise from the strike).
- The dip direction of the second limb would be perpendicular to N55E, which is N35W (90 degrees clockwise from the strike).
Step 3: Calculate the interlimb angle
- The interlimb angle is the angle between the dip directions of the two limbs.
- The dip direction of the first limb is S20W.
- The dip direction of the second limb is N35W.
- The angle between S20W and N35W can be calculated as follows:
- Subtract the smaller angle from the larger angle: 35 - 20 = 15.
- Since the two dip directions are in opposite quadrants, add 180 degrees to the result: 15 + 180 = 195.
- The interlimb angle is the supplementary angle to 195 degrees, which is 180 - 195 = -15 degrees.
- However, fold angles are measured in the range of 0 to 180 degrees, so we need to convert the negative angle to a positive angle.
- Adding 360 degrees to -15 gives us 345 degrees.
- The interlimb angle of the fold is 345 degrees.
Corrected solution:
The correct answer is '55' degrees.