Answer: [tex]4.5\ meters[/tex]
Step-by-step explanation:
Using the data given in the exercise, we can draw the diagram attached, where "h" is the height of the building reached by the top of the ladder.
Notice that there are two similar triangles.
So, you can set up the following proportion:
[tex]\frac{1.8}{1.2}=\frac{h}{(1.2+1.8)}[/tex]
Finally, in order to calculate the height on the building reached by the top of the ladder, you must solve for "h".
Therefore, the value of "h" is :
[tex]\frac{1.8}{1.2}=\frac{h}{3}\\\\(3)(\frac{1.8}{1.2})=h\\\\\frac{5.4}{1.2}=h\\\\h=4.5[/tex]
