find ij. write your answer as an integer or as a decimal rounded to the nearest tenth. ij =
find ij. write your answer as an integer or as a decimal rounded to the nearest tenth. ij =
Answer
Answer:
6.9
Explanation:
Step1: Identify the trig - ratio
In right - triangle $IJK$, we know $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here, $\theta = 49^{\circ}$, the adjacent side to $\angle K$ is $IK = 6$, and the opposite side is $IJ$. So, $\tan49^{\circ}=\frac{IJ}{IK}$.
Step2: Substitute the known values
Since $IK = 6$ and $\tan49^{\circ}\approx1.150368$, we have $IJ=IK\times\tan49^{\circ}$. Substituting $IK = 6$ into the equation, we get $IJ = 6\times\tan49^{\circ}$.
Step3: Calculate the value of $IJ$
$IJ=6\times1.150368 = 6.902208\approx6.9$.