Question

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

Explanation:

Step1: Identify cosine relationship

In right $\triangle TUV$, $\cos(V) = \frac{\text{adjacent}}{\text{hypotenuse}} = \frac{UV}{TV}$

Step2: Substitute known values

$\cos(34^\circ) = \frac{UV}{9}$

Step3: Solve for UV

$UV = 9 \times \cos(34^\circ)$
Calculate $\cos(34^\circ) \approx 0.8290$, so $UV \approx 9 \times 0.8290 = 7.461$

Step4: Round to nearest tenth

Round 7.461 to 7.5

Answer:

$UV = 7.5$