Oceanic mountains are formed from the rocks of sea-bed that rises above the sea-level to its peak height.
We are given that the base of the mountain or the depth underneath the sea-level from where the mountain was formed as:
[tex]\text{depth ( d ) = 9,538 feet}[/tex]The total height/rise of the mountain is given to us as:
[tex]\text{Total height ( H ) = 21,925 feet}[/tex]We are to determine the portion of the height that is visible above the sea-level! We know that the mountain base formation starts from below the sea-level at a certain depth ( d ) and the total height ( H ) of the mountain. We can express the portion of height ( h ) that is above sea-level mathematically as follows:
[tex]H\text{ = d + h}[/tex]We will plug in the respective values given to us and solve for ( h ):
[tex]\begin{gathered} 21,925\text{ = 9,538 + h} \\ h\text{ = 21,925 - 9,538} \\ \textcolor{#FF7968}{h}\text{\textcolor{#FF7968}{ = 12,387 feet}} \end{gathered}[/tex]The elevation of mountain above sea-level to its peak height is given as:
[tex]\textcolor{#FF7968}{12,387}\text{\textcolor{#FF7968}{ feet}}[/tex]
