Question

find jk.
write your answer as an integer or as a decimal rounded to the nearest tenth.
jk =
submit

Explanation:

Step1: Identify trigonometric ratio

We use tangent: $\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$

Step2: Substitute known values

$\tan(68^\circ) = \frac{JK}{2}$

Step3: Solve for JK

$JK = 2 \times \tan(68^\circ)$

Step4: Calculate the value

$\tan(68^\circ) \approx 2.475$, so $JK \approx 2 \times 2.475 = 4.95 \approx 5.0$ (corrected precise calculation: $\tan(68^\circ) \approx 2.475086853$, $2\times2.475086853=4.950173706$, rounded to nearest tenth is 5.0; updated with more accurate tangent value: $\tan(68^\circ)\approx2.475$, final $JK\approx5.0$)

Correction with precise calculator value: $\tan(68^\circ) \approx 2.475086853$, so $2\times2.475086853 = 4.950173706$, which rounds to 5.0 when rounded to the nearest tenth. For more accuracy, some references use $\tan(68^\circ)\approx2.475$, leading to the same result.

Answer:

5.2