Answer:
x = 65.1
Step-by-step explanation:
In relation to the angle, we are given the triangle's adjacent side and hypotenuse. Therefore, we will use the cosine function to determine the value of the hypotenuse:
[tex]cos(\theta)=\frac{adjacent}{hypotenuse}[/tex]
[tex]cos(37^\circ)=\frac{52}{x}[/tex]
[tex]xcos(37^\circ)=52[/tex]
[tex]x=\frac{52}{cos(37^\circ)}[/tex]
[tex]x\approx65.1[/tex]
So, the hypotenuse of the triangle is 65.1 units