find uv.\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\nuv =
find uv.\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\nuv =
Answer
Explanation:
Step1: Identify the trigonometric relation
In right - triangle $UVW$, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. Here, $\theta = 68^{\circ}$, the adjacent side to $\theta$ is $UW = 5$, and the hypotenuse is $UV$. So, $\cos68^{\circ}=\frac{UW}{UV}$.
Step2: Solve for $UV$
We know that $\cos68^{\circ}\approx0.3746$ and $UW = 5$. Rearranging the formula $\cos68^{\circ}=\frac{UW}{UV}$ gives $UV=\frac{UW}{\cos68^{\circ}}$. Substituting the values, we have $UV=\frac{5}{\cos68^{\circ}}=\frac{5}{0.3746}\approx13.3$.
Answer:
$13.3$