Question

what is m∠j to the nearest tenth?
o 31.9
o 38.5
o 52.5
o 58.1

Explanation:

Step1: Identify the tangent - ratio

In right - triangle $JLK$, $\tan J=\frac{LK}{JL}$. Here, $JL = 9.4$ and $LK=15.1$. So, $\tan J=\frac{15.1}{9.4}$.

Step2: Calculate the value of $\tan J$

$\tan J=\frac{15.1}{9.4}\approx1.6064$.

Step3: Find the measure of angle $J$

$J=\arctan(1.6064)$. Using a calculator, $J\approx58.1^{\circ}$.

Answer:

$58.1$