PLEASE HELP FAST! what is the value of tanXA) 7/18B 18/7

Hello!The answer is:The value of Tan(x) is:[tex]\frac{7}{24}[/tex]Why?Since we want to know the value of Tan(x), we need to use the following formula:[tex]Tan(x)=\frac{Opposite}{Adjacent(XZ)}[/tex]We already know the opposite side, but we need to find the value of the distance "XZ",so, we can calculate it using the Pythagorean Theorem since it's a right triangle.Let be: [tex]a=25\\b=7[/tex]Then, finding "XZ" we have:[tex]a^{2}=b^{2}+c^{2}\\ \\25^{2}=7^{2}+c^{2} \\\\c^{2}=625-49\\\\c=\sqrt{576}=24[/tex]Now, finding the value of Tan(x), we have:[tex]Tan(x)=\frac{opposite}{adjacent}\\\\Tan(x)=\frac{7}{24}[/tex]Hence, we have that the value of Tan(x) is:[tex]\frac{7}{24}[/tex]Have a nice day!