SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given details
STEP 2: Write the ratio of the sides
[tex]\begin{gathered} \tan\theta=\frac{opposite}{adjacent} \\ opposite=27ft \\ adjacent=base=? \\ By\text{ substitution,} \\ tan\theta=\frac{27}{x} \end{gathered}[/tex]
It is also given that:
[tex]\tan\theta=\frac{3}{7}[/tex]
By comparison of the two ratios, we have:
[tex]\frac{27}{x}=\frac{3}{7}[/tex]
STEP 3: Solve for x
Cross multiply
[tex]\begin{gathered} 27\times7=3x \\ x=\frac{27\times7}{3}=9\times7=63ft \end{gathered}[/tex]
Hence, the answer is 63 feet
