Question

Find the value of z, to the nearest tenth of an inch

Answer 1

z = 8 in

Step-by-step explanation:

The greater and smaller triangle are similar, so the ratio of the corresponding sides is constant. Then, we can write the following equation:

`(3)/(3+3)=(4)/(z)`

Solving for z, we get:

`\begin{gathered} (3)/(6)=(4)/(z) \\ 3\cdot z=6\cdot4 \\ 3z=24 \\ (3z)/(3)=(24)/(3) \\ z=8 \end{gathered}`

Therefore, the value of z is 8 in.