ANSWER
C. 64.29
EXPLANATION
The bigger right triangle is similar to the smaller right triangle, therefore
[tex] \frac{30}{14} = \frac{z}{30} [/tex]
Multiply both sides by 30;
[tex]30 \times \frac{30}{14} = \frac{z}{30} \times 30[/tex]
Simplify
[tex]z = \frac{900}{14} [/tex]
[tex]z = 64.28571429[/tex]
We correct to the nearest hundredthth to obtain,
[tex]z = 64.29[/tex]
The correct choice is C.
