Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

18. choose the correct answer if jk = 3 cm. use the value $s_2 = 6.2$ f…

Question

  1. choose the correct answer if jk = 3 cm.

use the value $s_2 = 6.2$
find $\tan j$.
$\frac{6.2}{3} \approx 2.1$
$\frac{3}{6.2} \approx 0.5$
$\frac{6.2}{7} \approx 0.9$
$\frac{3}{7} \approx 0.4$

Explanation:

Step1: Recall tangent definition

For angle $J$ in right $\triangle JKL$, $\tan J = \frac{\text{opposite side}}{\text{adjacent side}}$

Step2: Identify sides for $\tan J$

Opposite to $\angle J$: $s_2 = 6.2$ cm; Adjacent to $\angle J$: $JK = 3$ cm

Step3: Calculate $\tan J$

$\tan J = \frac{6.2}{3} \approx 2.1$

Answer:

$\frac{6.2}{3} \approx 2.1$