Answer:
19.1 ft
Step-by-step explanation:
-This a Pythagorean theorem problem given by the function:
[tex]b^2+h^2=H^2[/tex]
Where
H is the Hypotenuse length
h is the perpendicular height
b is the base length.
#Given that H=20 ft and base length,b =6 ft, the perpendicular height is calculated as:
[tex]h^2+b^2=H^2\\\\h^2=H^2-b^2\\\\h^2=20^2-6^2=364\\\\h=\sqrt{364}\\\\=19.0788\approx 19.08\ ft[/tex][tex]\approx 19.1 \ ft[/tex]
Hence, the ladder reaches the wall at a height of 19.1 ft
