How long is a shadow at each hour of the day?

A shadow is shortest at solar noon and grows quickly towards sunrise and sunset. These tables give the length of the shadow of a one-metre object, hour by hour, for three days of the year at two latitudes, so you can scale them to a tree, a wall, a fence or a row of solar panels.

Reading the tables

Hours from solar noon, metres per metre

The hours are counted from solar noon, when the sun is highest, because the shadow is symmetrical around it: the afternoon has the same lengths as the morning. Multiply a figure by the height of the object to get its shadow.

Solar noon in London falls at about 13:02 on the clock in late June, 12:07 in March and 11:58 in December; in Madrid at about 14:16, 13:22 and 13:12. A dash means the sun is below the horizon or right on it.

London, 51.5° N

Shadow length in London

Length of the shadow of a 1 m object, London, 2026
DateNoon1 h2 h3 h4 h5 h6 h
21 June0.53 m0.59 m0.73 m0.98 m1.34 m1.93 m3.05 m
20 March1.26 m1.33 m1.57 m2.05 m3.07 m6.2 m—
21 December3.72 m4.04 m5.36 m11 m———

In London a summer shadow stays shorter than the object itself for three hours either side of noon; in December the shortest shadow of the day is 3.7 times the object’s height.

Madrid, 40.4° N

Shadow length in Madrid

Length of the shadow of a 1 m object, Madrid, 2026
DateNoon1 h2 h3 h4 h5 h6 h
21 June0.31 m0.39 m0.59 m0.88 m1.31 m2.05 m3.74 m
20 March0.85 m0.92 m1.14 m1.57 m2.44 m5.0 m—
21 December2.04 m2.18 m2.70 m4.11 m11 m——

Eleven degrees of latitude make a large difference in winter: at noon on the shortest day a London shadow is 3.7 times the object’s height and a Madrid one twice the height.

Rules of thumb

What the tables say

  • When the sun is 45° high a shadow is exactly as long as the object. In London in June that is the case from about three hours before solar noon to three hours after it; in December the sun never gets that high.
  • Near sunrise and sunset shadows run away: in the last hour before sunset a shadow can grow from two or three times the height to ten times or more.
  • In London a winter shadow at noon is longer than a summer shadow five hours from noon.

Direction

Which way the shadows point

A shadow points directly away from the sun. At solar noon it points due north in the northern hemisphere, outside the tropics. In the morning it points to the west of north, in the afternoon to the east.

In summer the swing is much bigger than most people expect. In London on 21 June the shadow six hours before noon points to 255°, west-south-west, because the sun is then north of east; six hours after noon it points to 105°, east-south-east. In December the sun stays in the southern sky and shadows keep to the northern half of the compass: from 319° three hours before noon to 41° three hours after. The article on sunrise direction explains the swing.

Putting it to use

Trees, fences and rows of solar panels

  • Solar panel rows: rows on a flat roof or a field shade each other in winter. In London, to keep the rows clear at noon on the shortest day, the gap behind a row must be 3.7 times the height of its top edge above the next row’s bottom edge; to keep them clear from two hours before noon to two hours after, 5.4 times.
  • Trees and gardens: a 10 m tree south of a garden throws its noon shadow 5.3 m in June, 12.6 m in March and 37 m in December in London. See how many hours of sun a garden gets.
  • Buildings: the same factors give the reach of a house’s shadow over its neighbours through the year; which way a house should face uses them.

The shadow length calculator works out any height at any time and place, and on the map you can draw the shadow of a building or a tree directly on your plot.

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