Answer:
The breakdown of the image of the question is given below as
Concept:
To figure out the value of x, we will use the trigonometric ratio below
[tex]\begin{gathered} \tan\theta=\frac{opposite}{adjacent} \\ opposite=10.5ft \\ adjacent=x \\ \theta=24^0 \end{gathered}[/tex]
By substituting the values, we will have
[tex]\begin{gathered} \tan\theta=\frac{oppos\imaginaryI te}{adjacent} \\ \tan24^0=\frac{10.5ft}{x} \\ \end{gathered}[/tex]
By cross multiplying the equation above, we will have
[tex]\begin{gathered} \tan24^0=\frac{10.5ft}{x} \\ x\times\tan24^0=10.5ft \\ divide\text{ both sides by tan24} \\ \frac{x\times\tan24^0}{tan24^0}=\frac{10.5ft}{\tan24^0} \\ x=23.58ft \\ x\approx23.6ft(nearest\text{ tenth\rparen} \end{gathered}[/tex]
Hence,
The final answer is
[tex]\Rightarrow x=23.6ft[/tex]
