Construction / CALCULATOR

Ladder Reach Geometry

Ladder Reach Geometry: explore an explicit model with input checks, a formula and a worked example.

Runs on your deviceUpdates as you typeFormula & example ↓
01

Your inputs

Adjust the values to explore a different result.

m
Enter ladder length in m.
m
Enter foot distance from wall in m.

Formula

height=√(length²−distance²); angle=acos(distance/length).
  • Use the units shown beside each field.
  • Results update automatically whenever you change an input.
  • Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
  • Ideal right-triangle geometry only. It does not approve a ladder placement or account for required extension above a landing.

Example Calculation

Example inputs
  • Ladder length: 5 m
  • Foot distance from wall: 3 m

A 5 m ladder 3 m from the wall reaches 4 m.

Frequently asked questions

How do I use this calculator?

Enter ladder length, foot distance from wall. The result updates automatically. Use Reset to restore the example values.

What method does it use?

height=√(length²−distance²); angle=acos(distance/length).. Ideal right-triangle geometry only. It does not approve a ladder placement or account for required extension above a landing.

Why might a rounded result differ?

The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.

Are my inputs saved online?

No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.

Check the assumptions and units before using this result. Read about calculation methods.