find tv.\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\ntv = \nsubmit

Explanation:

Step1: Identify the trigonometric ratio

In right - triangle $TVU$, we know the adjacent side $TU = 7$ to the angle $\angle U=29^{\circ}$ and we want to find the opposite side $TV$. We use the tangent function since $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. $\tan U=\frac{TV}{TU}$

Step2: Substitute the known values

We know that $U = 29^{\circ}$ and $TU = 7$. So, $\tan(29^{\circ})=\frac{TV}{7}$. $TV = 7\times\tan(29^{\circ})$

Step3: Calculate the value

Using a calculator, $\tan(29^{\circ})\approx0.5543$. Then $TV=7\times0.5543 = 3.8801$.

Step4: Round the answer

Rounding $3.8801$ to the nearest tenth, we get $3.9$.

Answer:

$3.9$