Location

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Selected Coordinates

40.7°N, 74.0°W

Date & Time

Date

Time: 12:00

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Object Dimensions

Type

Human Tree Post/Box House

Height

Settings

Units

Metric Imperial

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What's Happening

Shadow Calculator uses the solar altitude angle (α) to solve the right triangle formed by an object and its shadow. By calculating the precise sun position for your location and date, we determine the exact shadow length (L).

L = h / tan(α)

Where: L = Shadow Length h = Object Height α = Sun Altitude

Shadow Direction depends on the Sun Azimuth, calculated from your Latitude (φ), Solar Declination (δ), and Solar Altitude (α).

cos(Az) = (sin(δ) - sin(φ) · sin(α)) / (cos(φ) · cos(α))

The shadow falls opposite to the sun: Direction = Azimuth + 180°

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Calculations

Shadow Length =

—

L = 1.75 / tan(34.6°) = 2.54 m

Solar Azimuth = arccos

sin(δ) - sin(φ) · sin(α)

cos(φ) · cos(α)

= —

Shadow Direction = 0° + 180° = —

—

Shadow Calculator