Answer:
29.05 ft
Step-by-step explanation:
Using the concept of pythagoras theorem, here we have the base and hypotenuse given hence we need to find the third dimension, assuming the wall is perfectly straight and forms a right angle with the bsse of the ladder. Here, [tex]c^{2}=a^{2}+b^{2}[/tex] and making a the subject of the formula then [tex]a=\sqrt {c^{2}-b^{2}}[/tex] and substituting 30 ft for c and 0.25*30=7.5 ft for b then [tex]a=\sqrt {30^{2}-7.5^{2}}=\sqrt {843.75}=29.047375096555626\approx 29.05 ft[/tex]