1. What is Slope Ratio?

Slope ratio represents the relationship between horizontal distance (run) and vertical distance (rise) in a slope. It is commonly expressed as "run:rise" or "1:tan(θ)" where θ is the angle in degrees.

2. How Does the Calculator Work?

The calculator uses the trigonometric formula:

Where:

• \( \theta \) — Angle in degrees
• \( \tan(\theta) \) — Tangent function of the angle
• 1 — Represents the horizontal run
• \( \tan(\theta) \) — Represents the vertical rise

Explanation: The tangent of an angle in a right triangle equals the ratio of opposite side (rise) to adjacent side (run).

3. Importance of Slope Ratio Calculation

Details: Slope ratio is essential in construction, civil engineering, road design, roofing, and landscaping for determining proper gradients and ensuring structural stability.

4. Using the Calculator

Tips: Enter the angle in degrees (0° to 89.999°). The calculator will compute the corresponding slope ratio as 1:tan(θ). For example, 45° gives 1:1 ratio.

5. Frequently Asked Questions (FAQ)

Q1: What is the slope ratio for a 45-degree angle?
A: For 45 degrees, tan(45°) = 1, so the slope ratio is 1:1, meaning equal run and rise.

Q2: How is slope ratio different from slope percentage?
A: Slope ratio (1:tan(θ)) shows the run:rise relationship, while slope percentage = (rise/run) × 100%.

Q3: What is the maximum angle this calculator can handle?
A: The calculator works for angles from 0° to just under 90°. At 90°, the slope is vertical and the ratio becomes undefined.

Q4: How accurate is the calculation?
A: The calculation uses precise trigonometric functions and provides results rounded to 4 decimal places for practical use.

Q5: Where is slope ratio commonly used?
A: Commonly used in construction for roof pitches, road gradients, wheelchair ramps, drainage systems, and landscape design.