Question

find st.
write your answer as an integer or as a decimal rounded to the nearest tenth.
$st = \square$

Explanation:

Step1: Identify adjacent side, angle

Adjacent side to $\angle T$: $UT=2$, $\angle T=27^\circ$

Step2: Use cosine definition

$\cos(\theta)=\frac{\text{Adjacent}}{\text{Hypotenuse}}$, so $\cos(27^\circ)=\frac{UT}{ST}$

Step3: Rearrange to solve for ST

$ST=\frac{UT}{\cos(27^\circ)}$

Step4: Substitute values and calculate

$\cos(27^\circ)\approx0.8910$, so $ST=\frac{2}{0.8910}\approx2.2$

Answer:

2.2