1. What is the 1 In 60 Rule?

The 1 in 60 rule is a navigational principle used in aviation and other fields. It states that a 1 degree error in heading will result in being 1 mile off course for every 60 miles flown. This calculator computes the angle corresponding to any slope ratio.

2. How Does the Calculator Work?

The calculator uses the trigonometric formula:

Where:

• \( \text{slope} \) — The slope ratio (e.g., 60 for 1 in 60)
• \( \arctan \) — Inverse tangent function

Explanation: The formula calculates the angle whose tangent is the reciprocal of the slope ratio.

3. Applications of the 1 In 60 Rule

Details: Primarily used in aviation for course correction calculations, but also applicable in engineering, construction, and any field requiring slope-to-angle conversions.

4. Using the Calculator

Tips: Enter the slope ratio (e.g., 60 for a 1 in 60 slope). The calculator will compute the corresponding angle in degrees.

5. Frequently Asked Questions (FAQ)

Q1: Why is it called the 1 in 60 rule?
A: Because a 1 degree error in heading results in approximately 1 mile of deviation for every 60 miles traveled.

Q2: How accurate is this rule?
A: It's an approximation that works well for small angles (less than 10 degrees) where tan(θ) ≈ θ in radians.

Q3: Can this be used for other slope ratios?
A: Yes, the calculator works for any slope ratio, not just 1 in 60.

Q4: What fields use this calculation?
A: Aviation, navigation, civil engineering, construction, and any field dealing with slopes and angles.

Q5: How precise is this calculation?
A: The calculation is mathematically exact; precision depends on the accuracy of your input values.