Answer:
11.31ft
Step-by-step explanation:
This is followed up by the use of the Pythagorean theorem which is stated as [tex]a^{2}+b^{2}=c^{2}[/tex] where a and b are the "legs" of a triangle and c is the hypotenuse.
Since, the ladder is 18 foot high, so this will be the value of the c and the value of bis given as 14feet.
Therefore, using [tex]a^{2}+b^{2}=c^{2}[/tex]
⇒[tex]a^{2}+(14)^{2}=(18)^{2}[/tex]
⇒[tex]a^{2}=(18)^{2}-(14)^{2}[/tex]
⇒[tex]a^{2}=324-196=128[/tex]
⇒[tex]a=11.31 ft[/tex]
The height of the wall is 11.31ft.
