Fill in the blank. In the triangle below, x= Round your answer to twodecimal places.

ANSWER :
x = 44.80
EXPLANATION :
Using tangent function :
[tex]\tan\theta=\frac{\text{ opposite}}{\text{ adjacent}}[/tex]The opposite side to the angle of 52 degrees is x and the adjacent side is 35
That will be :
[tex]\begin{gathered} \tan52=\frac{x}{35} \\ \\ x=35\tan52 \\ x=44.798\sim44.80 \end{gathered}[/tex]