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Cloud Base Height

H ≈ 400 × (T − Td) feet. Free online Cloud Base Height. Calculate cloud base height online — fast, accurate, mobile-friendly, no signup needed.

Cloud base (ft)
1,818.181818

Derivation

  1. ├── 01GivenT = 80, Td = 60
  2. ├── 02Formula400 × (e.T-e.Td) / 4.4
  3. ├── 03Substitute400 × (e.80-e.60) / 4.4
  4. └── 04Compute Cloud base (ft)1,818.181818
Did you know?

Søren Sørensen invented the pH scale in 1909 while studying protein chemistry at the Carlsberg brewery — "p" stands for "potenz" (power) and "H" for hydrogen.

§01What is

Understanding the Cloud Base Height

The Cloud Base Height computes Cloud base (ft) from 2 inputs: air (°f), dew point (°f). H ≈ 400 × (T − Td) feet.

Quick calculators for the math that shouldn’t need a notepad — instant, accurate, private to your browser. The Cloud Base Height sits in that toolkit — it H ≈ 400 × (T − Td) feet. Enter your numbers above and the result updates instantly; every step of the math is shown in the Derivation panel so you can see exactly how the answer was reached.

§02The Formula

How it’s calculated

400 × (e.T-e.Td) / 4.4

Where

T
Air (°F)
Td
Dew point (°F)
§03Practical Example

Step-by-step walkthrough

Scenario

Apply the formula to a realistic set of inputs: Air (°F) = 80, Dew point (°F) = 60.

  1. 01Start by noting the input — Air (°F): 80.
  2. 02Start by noting the input — Dew point (°F): 60.
  3. 03Substitute these values into the formula: 400 × (e.T-e.Td) / 4.4
  4. 04Compute Cloud base (ft): the calculator returns 1818.18.
  5. 05Cross-check the answer by opening the Derivation panel above — every line of math is shown so you can follow the computation end-to-end.
§04Variants

Common Cloud Base Height Problems

The formula gets rearranged depending on which variable you need. Here are the patterns you’ll run into in the real world — find the one that matches your problem and follow the worked steps.

01 · PATTERN

Air (°F) halved

T = 40 (from 80)

Keep every other input at its default and halve the air (°f). See how cloud base (ft) responds.

  1. 01New Air (°F): 40
  2. 02Baseline Cloud base (ft): 1818.18
  3. 03New Cloud base (ft): -1818.18
  4. 04Cloud base (ft) decreases by 200% → use this sensitivity to plan for real-world variation.
02 · PATTERN

Air (°F) doubled

T = 160 (from 80)

Keep every other input at its default and double the air (°f). See how cloud base (ft) responds.

  1. 01New Air (°F): 160
  2. 02Baseline Cloud base (ft): 1818.18
  3. 03New Cloud base (ft): 9090.91
  4. 04Cloud base (ft) increases by 400% → use this sensitivity to plan for real-world variation.
03 · PATTERN

Dew point (°F) halved

Td = 30 (from 60)

Keep every other input at its default and halve the dew point (°f). See how cloud base (ft) responds.

  1. 01New Dew point (°F): 30
  2. 02Baseline Cloud base (ft): 1818.18
  3. 03New Cloud base (ft): 4545.45
  4. 04Cloud base (ft) increases by 150% → use this sensitivity to plan for real-world variation.
04 · PATTERN

Dew point (°F) doubled

Td = 120 (from 60)

Keep every other input at its default and double the dew point (°f). See how cloud base (ft) responds.

  1. 01New Dew point (°F): 120
  2. 02Baseline Cloud base (ft): 1818.18
  3. 03New Cloud base (ft): -3636.36
  4. 04Cloud base (ft) decreases by 300% → use this sensitivity to plan for real-world variation.
§05FAQ

Frequently asked questions

Yes. The calculator implements the standard formula as documented and returns exact floating-point results. No approximations are used unless noted in the formula.
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