Question

find ij
write your answer as an integer or as a decimal rounded to the nearest tenth.
$ij = \square$

Explanation:

Step1: Identify trigonometric ratio

We use tangent: $\tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}$
Here, $\theta=38^\circ$, opposite side $=5$, adjacent side $=IJ$.

Step2: Rearrange to solve for $IJ$

$IJ=\frac{5}{\tan(38^\circ)}$

Step3: Calculate the value

$\tan(38^\circ)\approx0.7813$, so $IJ\approx\frac{5}{0.7813}\approx6.4$

Answer:

$6.4$