# cloud height derivations

1. cloud height from cloud base/top height

   symbol | description | unit | variable name
   --- | --- | --- | ---
   \(z_{c}\) | cloud height (mid point) | \(m\) | cloud_height {:}
   \(z_{cb}\) | cloud base height | \(m\) | cloud_base_height {:}
   \(z_{ct}\) | cloud top height | \(m\) | cloud_top_height {:}

   The pattern : for the dimensions can represent {latitude,longitude}, {time}, {time,latitude,longitude}, or no dimensions at all.

   \[z_{c} = \frac{z_{ct} - z_{cb}}{2}\]