Broadcast engineering / field calculator

How Far Can That Tower See?

A quick look at antenna height, Earth's curvature, and the radio horizon.

01

Tower & receiver

feet

Try 1004233. Lookup uses an imported snapshot of FCC ASR registrations.

Enter an ASRN or use the manual inputs below.

A reference label only; no geocoding, terrain, or population lookup is performed.

AMSL = above mean sea level. AGL = above ground level. Base elevation affects only the AMSL result.

Automatic estimate: tower top minus 8 m (26.2467 ft), with a minimum of 0 ft.

02

Horizon estimates

Standard radio horizon—k = 4/3 effective Earth
Geometric horizon—k = 1, no refraction
Theoretical area—Circle using the radio-horizon radius
Radiation center AMSL—Enter base elevation to calculate
Estimated populationNot availablePlaceholder — Census data not connected
Population densityNot availablePlaceholder — people per square mile

Formulas & assumptions

Distance from both antenna heights

Heights hₜ and hᵣ are in feet AGL; distances are in miles.

Radio: d ≈ 1.415 × (√hₜ + √hᵣ)
Geometric: d ≈ 1.225 × (√hₜ + √hᵣ)

The calculation uses √(2kRh) for each endpoint, R = 6,371 km, and k = 4/3 for a standard refracting atmosphere or k = 1 for geometric line of sight. Coefficients shown are rounded; calculations use the constants directly. See ITU horizon geometry.

A useful first approximation

Area = πd², a theoretical circle in square miles. Radiation center AMSL = base elevation AMSL + radiation center AGL.

Assumes a smooth Earth and similar ground elevations at both ends. These heights are not HAAT (height above average terrain). Base elevation is not added to the horizon height.

The 8 m antenna setback is a rough convenience estimate, not FCC antenna data. Enter the actual radiation center when known. ZIP or coordinates do not change the results. Population and density are reserved for a future data integration.