Answer:
The top of the ladder is 6.3 feet high from the ground.
Step-by-step explanation:
The given question can be expressed by the three sides of a right angled triangle. Let the height of the top of the ladder from the ground be represented by h.
Thus, applying the Pythagoras theorem to determine h, we have;
[tex]/hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]
[tex]11^{2}[/tex] = [tex]h^{2}[/tex] + [tex]9^{2}[/tex]
121 = [tex]h^{2}[/tex] + 81
[tex]h^{2}[/tex] = 121 - 81
= 40
h = [tex]\sqrt{40}[/tex]
= 6.325
h = 6.325 feet
The top of the ladder is 6.3 feet high from the ground.
