Answer:
h = 5.4
Step-by-step explanation:
Basically these are 2 similar triangles. That means:
Corresponding sides are proportional.
We can set up a ratio of each triangle separately and equate, cross multiply and solve for "h".
h corresponds to 2.4
2.9 corresponds to 1.3
Setting up the ratio and solving for h:
[tex]\frac{h}{2.4}=\frac{2.9}{1.3}\\1.3h=2.4*2.9\\1.3h=6.96\\h=\frac{6.96}{1.3}\\h=5.35[/tex]
Rounded to 1 decimal place,
h = 5.4
