Question

find uv. triangle image: right-angled at w, angle at v is 50°, side wu is 6 write your answer as an integer or as a decimal rounded to the nearest tenth. uv = blank submit

Explanation:

Step1: Identify trigonometric ratio

In right $\triangle UVW$, $\angle V=50^\circ$, side $UW=6$ (opposite $\angle V$), $UV$ is the hypotenuse. Use sine:
$\sin(50^\circ) = \frac{UW}{UV}$

Step2: Rearrange to solve for UV

Rearrange formula to isolate $UV$:
$UV = \frac{UW}{\sin(50^\circ)}$

Step3: Substitute values and calculate

Substitute $UW=6$, $\sin(50^\circ)\approx0.7660$:
$UV = \frac{6}{0.7660} \approx 7.8$

Answer:

7.8