Question

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

Explanation:

Step1: Identify adjacent side/hypotenuse

In right triangle $UWV$, $\angle V = 48^\circ$, hypotenuse $UV = 9.4$, $VW$ is adjacent to $\angle V$.

Step2: Use cosine function formula

$\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}$, so $\cos(48^\circ) = \frac{VW}{9.4}$

Step3: Solve for $VW$

Rearrange to isolate $VW$: $VW = 9.4 \times \cos(48^\circ)$
Calculate $\cos(48^\circ) \approx 0.6691$, so $VW \approx 9.4 \times 0.6691$

Step4: Compute final value

$9.4 \times 0.6691 \approx 6.3$

Answer:

$6.3$