Answer:
15 feet..
taking base as 8m
Given: ladder = 17 m and base = 8 m
The ladder forms a right triangle with the base of 8 m, the wall will be 15 m and the ladder (hypotenuse) is 17 m.
Let’s say you did not know that this was a standard 8–15–17 right triangle.
This is how you can figure it out:
hypotenuse(h)22 = side2112 + side2222
Let side11 = base and side22 = wall
1722 = 822 + wall22
wall = 172−82−−−−−−−√172−82
wall = 289−64−−−−−−−√289−64
wall = 225−−−√225
wall = 15 feet
Height of wall is 15 feet
Given:
Length of ladder = 17 feet
Base distance from ladder = 8 feet (Missing information)
Find:
Height of wall
Computation:
Length of ladder = hypotenuse
Base distance from ladder = Base
Height of wall = Perpendicular
Using Pythagorean theorem
[tex]Perpendicular = \sqrt{Hypotenuse^2 - Base^2}[/tex]
By putting values
[tex]Perpendicular = \sqrt{17^2 - 8^2}[/tex]
[tex]Perpendicular = \sqrt{289 - 64} \\\\Perpendicular = \sqrt{225} \\\\Perpendicular = 15[/tex]
Height of wall = 15 feet
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