Question

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

Explanation:

Step1: Use trigonometric ratio

In right - triangle \(QRS\), \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). Here, \(\theta = 49^{\circ}\), the opposite side to \(\theta\) is \(QR = 7\), and the adjacent side is \(RS\). So, \(\tan49^{\circ}=\frac{QR}{RS}\).

Step2: Solve for \(RS\)

We can rewrite the formula as \(RS=\frac{QR}{\tan49^{\circ}}\). Since \(QR = 7\) and \(\tan49^{\circ}\approx1.150368\), then \(RS=\frac{7}{1.150368}\).

Step3: Calculate the value

\(RS\approx6.1\)

Answer:

\(6.1\)