Degrees to Feet Calculator

Convert angles to distances using trigonometry. Calculate height, arc length, and slope from degrees for construction, surveying, and engineering.

Angle to Distance Calculator:

Degrees measure angles, feet measure distance. This calculator bridges the gap using trigonometric relationships with your known dimension.

Degrees to Feet Converter

0° 30° 90°

Horizontal distance

Formula: Height = Base × tan(θ)

Calculation Results

Enter angle and dimension

then click "Calculate" for distance

What is a Degrees to Feet Calculator?

At first glance, converting degrees to feet seems impossible. Degrees measure angles, while feet measure distance. They describe completely different things. But when you combine an angle with another measurement—like a base length or radius—you can calculate an actual distance using trigonometry.

This is common in construction, roofing, surveying, and road design. Suppose you're building a ramp and know the angle is 30 degrees with a horizontal run of 12 feet. Using a simple formula, you can find the vertical rise without physically measuring it.

Formulas Used in This Calculator

Triangle Mode (Height from Base)
Height = Base × tan(Angle)
Calculate vertical rise from horizontal distance and angle.
Arc Mode (Arc Length)
Radians = Degrees × (π ÷ 180)
Arc Length = Radius × Radians
Calculate distance along a curved path.
Slope Mode (Slope Length)
Slope Length = Run ÷ cos(Angle)
Calculate the diagonal distance along a slope.

Example Calculation

Problem: Find the vertical rise of a 30° slope over 12 feet.
Step 1: tan(30°) ≈ 0.577
Step 2: Height = 12 × 0.577
Result: Height ≈ 6.92 feet

Degrees to Feet Reference Table

Here's a reference table showing various angle-to-distance conversions:

Angle Base/Radius Mode Result (ft) Application
15° 10 ft base Triangle 2.68 ft Low slope ramp
30° 12 ft base Triangle 6.92 ft Standard ramp
45° 10 ft radius Arc 7.85 ft Quarter circle
45° 8 ft base Triangle 8.00 ft Steep roof
60° 8 ft base Triangle 13.86 ft Steep incline
90° 6 ft radius Arc 9.42 ft Quarter circle
10° 50 ft run Slope 50.77 ft Gentle road grade
20° 25 ft run Slope 26.60 ft Driveway slope
35° 15 ft base Triangle 10.50 ft Roof pitch
5° 100 ft run Slope 100.38 ft ADA ramp
120° 5 ft radius Arc 10.47 ft Third circle
180° 8 ft radius Arc 25.13 ft Semicircle
25° 20 ft base Triangle 9.33 ft Roofing
40° 18 ft run Slope 23.49 ft Hillside path
55° 10 ft base Triangle 14.28 ft Steep stairs
270° 4 ft radius Arc 18.85 ft 3/4 circle
12° 30 ft run Slope 30.67 ft Wheelchair ramp
75° 6 ft base Triangle 22.39 ft Ladder angle
360° 5 ft radius Arc 31.42 ft Full circle
8° 75 ft run Slope 75.74 ft Road grade
Pro Tip:

Always double-check your angle units. Degrees are common in construction, while radians are used in engineering calculations. This calculator handles both automatically.