Question

find qr.
write your answer as an integer or as a decimal rounded to the neare
qr =
submit

Explanation:

Step1: Use cosine function

In right - triangle \( \triangle PQR\), \(\cos Q=\frac{PQ}{QR}\). Given \(PQ = 4\) and \(Q = 27^{\circ}\).
So, \(\cos27^{\circ}=\frac{4}{QR}\).

Step2: Solve for \(QR\)

Rearrange the formula to \(QR=\frac{4}{\cos27^{\circ}}\).
We know that \(\cos27^{\circ}\approx0.891\).
Then \(QR=\frac{4}{0.891}\approx4.5\).

Answer:

\(4.5\)