Question

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

Explanation:

Step1: Identify trigonometric ratio

We have a right triangle, angle at $V$ is $24^\circ$, side $WU=3.6$ is opposite to $24^\circ$, and $UV$ is adjacent to $24^\circ$. Use tangent:
$\tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}$

Step2: Substitute known values

$\tan(24^\circ)=\frac{3.6}{UV}$

Step3: Rearrange to solve for UV

$UV=\frac{3.6}{\tan(24^\circ)}$

Step4: Calculate the value

$\tan(24^\circ)\approx0.4452$, so $UV\approx\frac{3.6}{0.4452}\approx8.1$

Answer:

8.1