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.
\(\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}\)
Upon substituting our given values, we will get:
\(\text{tan}(27^{\circ})=\frac{34}{x}\)
\(x=\frac{34}{\text{tan}(27^{\circ})}\)
\(x=\frac{34}{0.509525449494}\)
\(x=66.728757\approx 66.73\)
Therefore, the value of x is 66.73 for our given triangle and option 'c' is the correct choice.
