Maths & numbers

Shadow length from elevation angle calculator

Find the horizontal shadow length of a vertical object on level ground.

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Behind the numbers

How this calculation works

Find the horizontal shadow length of a vertical object on level ground.

THE FORMULAL=h/tan θ

A worked example

A height of 5 with 45° elevation gives a length of 5.

Good to know

Use elevation above the horizontal.

Read the result

Find the horizontal shadow length of a vertical object on level ground.

The primary result is labeled “Shadow length”. Keep the input definitions in view when comparing this result with another method.

Try a related calculation

Use elevation above the horizontal.

For a related exercise, try the quadratic equation solver.

A few questions, answered

How can I check the default inputs by hand?

A height of 5 with 45° elevation gives a length of 5.

Which rule does this calculator apply?

L=h/tan θ

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