Answer: [tex]22\frac{1}{2}\text{ Feet}[/tex]
Step-by-step explanation:
Here, the vertical space between two consecutive stairs in first 10 stairs = [tex]1\frac{1}{3}\text{ feet}[/tex]
⇒ The total vertical distance for 10 stairs = [tex]10\times 1\frac{1}{3}=10\times \frac{4}{3}=\frac{40}{3}\text{ feet}[/tex]
Also, The vertical space between two consecutive stairs for last 5 stairs = [tex]1\frac{3}{4}\text{ feet}[/tex]
⇒ The total vertical distance for 10 stairs = [tex]10\times 1\frac{1}{3}=5\times \frac{7}{4}=\frac{35}{4}\text{ feet}[/tex]
Thus, The total vertical distance = Total vertical space for the first 10 stairs + Total vertical space for the last 5 stairs
= [tex]\frac{40}{3} + \frac{35}{4}[/tex]
= [tex]\frac{160+105}{12}[/tex]
= [tex]\frac{265}{12}[/tex]
= [tex]22\frac{1}{2}\text{ Feet}[/tex]
