Answer:
h = 2.7 m
Step-by-step explanation:
The larger triangle and the smaller triangle are similar so ratios of corresponding sides are equal, that is
[tex]\frac{6}{6+12}[/tex] = [tex]\frac{0.9}{h}[/tex] , that is
[tex]\frac{6}{18}[/tex] = [tex]\frac{0.9}{h}[/tex] ( cross- multiply )
6h = 16.2 ( divide both sides by 6 )
h = 2.7 m