Question

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

Explanation:

Step1: Use trigonometric ratio

In right - triangle \(RTS\), \(\tan S=\frac{RT}{ST}\). Here, \(RT = 3\), \(S = 56^{\circ}\). So, \(\tan56^{\circ}=\frac{3}{ST}\).

Step2: Solve for \(ST\)

Since \(\tan56^{\circ}\approx1.4826\), then \(ST=\frac{3}{\tan56^{\circ}}\).

$$ST=\frac{3}{1.4826}\approx2.0$$

Answer:

\(2.0\)