Answer:
The ladder will reach 5.6 meters high.
Step-by-step explanation:
The tree, the ground and Kali's ladder form a triangle whose hypotenuse [tex]h[/tex] is the ladder, base [tex]b[/tex] the ground, and perpendicular [tex]p[/tex] the tree. Thus from Pythagorean theorem:
[tex]p^2+b^2=h^2[/tex]
Since [tex]b=2[/tex] and [tex]h=6[/tex]
[tex]p=\sqrt{h^2-b^2} =\sqrt{6^2-2^2}=\boxed{5.6\:meters.}[/tex]
Thus the ladder will reach 5.6 meters high.
