Question

3 type the correct answer in the box. round your answer to two decimal places. find the length of (overline{st}) in this kite. (st=) units

Explanation:

Step1: Recall the sine function in a right - triangle

In a right - triangle, \(\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\). In the right - triangle \(STR\), \(\theta = 23^{\circ}\), the hypotenuse \(SR = 3.3\), and the side opposite to the angle \(\theta\) is \(ST\).

Step2: Apply the sine formula

We have \(\sin(23^{\circ})=\frac{ST}{SR}\). Since \(SR = 3.3\), we can solve for \(ST\) by multiplying both sides of the equation by \(SR\). So \(ST=SR\times\sin(23^{\circ})\).
We know that \(\sin(23^{\circ})\approx0.3907\).
Then \(ST = 3.3\times0.3907\).
\(ST=3.3\times0.3907 = 1.28931\)

Answer:

\(1.29\)