Question

In △JKL, solve for x. a) 17.32 b) 38.16 c) 66.73 d) 74.89

Answer 1

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.