Answer: h≈ 16 feet
Step-by-step explanation:
All se need to do is to find the height, from the diagram , pythagoras theorem will be applied to fing the height.
Pythagoras theorem states that :
[tex]hypotenus^{2}[/tex] = [tex]opposite^{2}[/tex] + [tex]Adjacent^{2}[/tex]
From the diagram , Hypotenus = 24 , the other sides are 18 and the unknown height.
Let the unknown height be h , then by pythagoras theorem
[tex]24^{2}[/tex] = [tex]h^{2}[/tex] + [tex]18^{2}[/tex]
576 = [tex]h^{2}[/tex] + 324
colloecting the like terms , we have
[tex]h^{2}[/tex] = 576 - 324
[tex]h^{2}[/tex] = 252
h = [tex]\sqrt{252}[/tex]
h = 15.87
h≈ 16 feet
