The problem can be observed in the figure below.
To find the missing value "c", follow the steps below.
Step 01: Write the Pythagorean theorem.
[tex]c^2=a^2+b^2[/tex]Where:
c = hypotenuse.
a and b = legs.
Step 02: Substitute the values in the equation.
a = 30.
b = 45.
[tex]\begin{gathered} c^2=30^2+45^2 \\ c^2=900+2025 \\ c^2=2925 \end{gathered}[/tex]Taking the root from both sides:
[tex]\begin{gathered} \sqrt[]{c^2}=\sqrt[]{2925} \\ c=54.08 \end{gathered}[/tex]Answer: The diagonal c measures 54.08 feet.
