The Hypotenuse = 38.1 feet
Explanations:From the diagram shown:
The adjacent side, A = 30 ft
Let
Let the side facing <38° be represented by B
Let the hypotenuse side be C
The right angle is facing the hypotenuse.
Sum of angles in a triangle = 180°
To calculate the hypotenuse side C, use the sine rule formula below:
[tex]\begin{gathered} \frac{\sin c}{C}=\text{ }\frac{\sin a}{A} \\ \frac{\sin 90}{C}=\text{ }\frac{\sin 52}{30} \\ \frac{1}{C}=\text{ }\frac{0.788}{30} \\ 0.788C\text{ = 30} \\ C\text{ = }\frac{30}{0.788} \\ C=38.1^{} \end{gathered}[/tex]The Hypotenuse = 38.1 feet