Answer:
c) 66.73
Step-by-step explanation:
We have been given a right triangle. We are asked to find the value of x for our given triangle.
We can see that x is adjacent side for angle 27 degrees and side Kl is opposite side.
We know that tangent relates opposite side of right triangle to its adjacent side.
[tex]\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]
Upon substituting our given values, we will get:
[tex]\text{tan}(27^{\circ})=\frac{34}{x}[/tex]
[tex]x=\frac{34}{\text{tan}(27^{\circ})}[/tex]
[tex]x=\frac{34}{0.509525449494}[/tex]
[tex]x=66.728757\approx 66.73[/tex]
Therefore, the value of x is 66.73 for our given triangle and option 'c' is the correct choice.
