The apparent dip is 25degree in a plane making 30 degree with magnetic meridian. What is the real dip at that pace? (tan 25= 0.47)

To determine the real dip when you have an apparent dip and the angle the plane makes with the magnetic meridian, we can use some trigonometric principles. The apparent dip is the angle measured in the direction of the magnetic meridian, while the real dip is the angle measured perpendicular to the plane of the geological formation. Let's break this down step by step.

Understanding the Angles

In this scenario, you have:

• An apparent dip of 25 degrees.
• The angle of the plane with the magnetic meridian is 30 degrees.

Using Trigonometric Relationships

To find the real dip, we can use the formula that relates the apparent dip (A), the real dip (R), and the angle (θ) between the plane and the magnetic meridian:

tan(A) = tan(R) * cos(θ)

We know:

• A = 25 degrees
• θ = 30 degrees

Calculating the Real Dip

First, we need to find the tangent of the apparent dip:

tan(25 degrees) = 0.47

Now, we can rearrange the formula to solve for the real dip (R):

tan(R) = tan(A) / cos(θ)

Next, we need to calculate cos(30 degrees):

cos(30 degrees) = √3/2 ≈ 0.866

Now, substituting the values into the equation:

tan(R) = 0.47 / 0.866

Calculating this gives:

tan(R) ≈ 0.543

Finding the Angle

To find the angle R, we take the arctangent of 0.543:

R = arctan(0.543)

Using a calculator, we find:

R ≈ 29.1 degrees

Final Thoughts

Thus, the real dip at that location is approximately 29.1 degrees. This calculation illustrates how trigonometric relationships can help us understand geological formations and their orientations in relation to magnetic fields. If you have any further questions or need clarification on any part of this process, feel free to ask!