Question

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

Explanation:

Step1: Identify trigonometric ratio

We use sine: $\sin(\theta)=\frac{\text{opposite}}{\text{hypotenuse}}$
Here, $\theta=27^\circ$, opposite side $TU=4$, hypotenuse $TV=x$.

Step2: Substitute values into formula

$\sin(27^\circ)=\frac{4}{x}$

Step3: Rearrange to solve for $x$

$x=\frac{4}{\sin(27^\circ)}$

Step4: Calculate the value

$\sin(27^\circ)\approx0.4540$, so $x\approx\frac{4}{0.4540}\approx4.5$

Answer:

4.5