find st. write your answer as an integer or as a decimal rounded to the nearest tenth. st =
find st. write your answer as an integer or as a decimal rounded to the nearest tenth. st =
Answer
Answer:
$3.7$
Explanation:
Step1: Use sine - function definition
In right - triangle $UST$, $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$. Here, $\theta = 28^{\circ}$ and the hypotenuse $UT=\sqrt{70}$, and we want to find the side $ST$ which is opposite to the angle $\theta$. So, $\sin28^{\circ}=\frac{ST}{UT}$.
Step2: Substitute the values
Since $UT = \sqrt{70}\approx8.37$ and $\sin28^{\circ}\approx0.469$, we have $ST=UT\times\sin28^{\circ}$. Substituting the values, $ST=\sqrt{70}\times\sin28^{\circ}\approx8.37\times0.469\approx3.7$.