Since we have a right triangle, we can relate the angle 28 with x and side 34 by meand of the sine function, that is,
[tex]\sin 28=\frac{34}{x}[/tex]
where x is the hypotenuse. By moving x to the left hand side, we have
[tex]x\cdot\sin 28=34[/tex]
and by moving sin28 to the right hand side, we get
[tex]x=\frac{34}{\sin 28}[/tex]
since sin28=0.4694, we have
[tex]x=\frac{34}{0.4694}[/tex]
then, x is given by
[tex]x=72.42[/tex]
by rounding down, the answer is option D: x=72.4
