Question

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

Explanation:

Step1: Use the tangent function

In a right - triangle \( \triangle RST\), \(\tan R=\frac{ST}{SR}\). Given \(R = 54^{\circ}\) and \(SR = 5\).
So, \(ST=SR\times\tan R\).

Step2: Substitute the values

Since \(\tan(54^{\circ})\approx1.376\) and \(SR = 5\).
Then \(ST=5\times\tan(54^{\circ})\).
\(ST = 5\times1.376=6.88\approx6.9\)

Answer:

\(6.9\)