Question

Find the value of z. round to the nearest hundredth

Answer 1

C. 64.29

Step-by-step explanation

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

`(30)/(14) = (z)/(30)`

Multiply both sides by 30;

`30 * (30)/(14) = (z)/(30) * 30`

Simplify

`z = (900)/(14)`

`z = 64.28571429`

We correct to the nearest hundredthth to obtain,

`z = 64.29`

The correct choice is C.