Question

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

Explanation:

Step1: Identify adjacent side, hypotenuse

In right $\triangle VUT$, $\angle V=27^\circ$, adjacent side to $\angle V$ is $VU=6$, hypotenuse is $TV$.

Step2: Use cosine ratio formula

Cosine of an angle is $\frac{\text{adjacent}}{\text{hypotenuse}}$, so:
$\cos(27^\circ) = \frac{VU}{TV}$

Step3: Solve for TV

Rearrange to isolate $TV$:
$TV = \frac{VU}{\cos(27^\circ)}$
Substitute $VU=6$, $\cos(27^\circ)\approx0.8910$:
$TV \approx \frac{6}{0.8910}$

Step4: Calculate final value

$TV \approx 6.7$

Answer:

$6.7$