The given triangle is a right angle triangle. We would solve for x by applying pythagorean theorem which is expressed as
hypotenuse^2 = opposite side^2 + adjacent side^2
From the diagram,
hypotenuse = 15
opposite side = 11
adjacent side = x
Thus,
[tex]\begin{gathered} 15^2=11^2+x^2 \\ 225=121+x^2 \\ x^2=225\text{ - 121 = 104} \\ x\text{ = }\sqrt[]{104} \\ x\text{ = 10.198} \end{gathered}[/tex]Rounding to the nearest tenth,
x = 10.2
