Question

Find the value of z. round to the nearest hundredth

Answer 1

ANSWER

C. 64.29

EXPLANATION

The bigger right triangle is similar to the smaller right triangle, therefore

$\frac{30}{14} = \frac{z}{30}$

Multiply both sides by 30;

$30 \times \frac{30}{14} = \frac{z}{30} \times 30$

Simplify

$z = \frac{900}{14}$

$z = 64.28571429$

We correct to the nearest hundredthth to obtain,

$z = 64.29$

The correct choice is C.