Question

Find the value of x rounded to the nearest tenth

Answer 1

The figure suggests that the two sub-triangle are similar, because they are both right and the angle at the top is the same.

If that is the case, we can claim that the correspondent sides are in proportion:

$6\div 9 = x \div 8$

Solving for x we have

$x = \dfrac{6\cdot 8}{9}=\dfrac{48}{9}=\dfrac{16}{3}$