**Trigonometry Example Problem: Finding the Value of Side QR***Which expression gives the value of \(QR\)?*In the given triangle \(QRS\), we have:- \( \angle Q = 80^\circ \)- \( \angle S = 52^\circ \)- Side \(QS = 51\)- Side \(RS = 67\)The options are:A. \( \frac{67 \sin 80^\circ}{\sin 52^\circ} \)B. \( \frac{67 \sin 52^\circ}{\sin 80^\circ} \)C. \( 51 \tan 52^\circ \)D. \( \frac{51 \sin 80^\circ}{\cos 52^\circ} \)**Graph Description:**This problem involves a labeled triangle diagram. The triangle is denoted as \( \triangle QRS \) with the following specifics:- Vertex \( Q \), where \( \angle Q = 80^\circ \).- Vertex \( S \), where \( \angle S = 52^\circ \).- Side \( QS = 51 \) units.- Side \( RS = 67 \) units.The goal is to determine the correct trigonometric expression to find the length of side \( QR \).**Solution Explanation:**To solve this, you may use the Law of Sines, which states:\[ \frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C} \]where \( a, b, \) and \( c \) are the sides of the triangle, and \( A, B, \) and \( C \) are the opposite angles.Given the information, you can choose the appropriate expression from the provided options. Practice solving similar problems using the trigonometric principles and identification of angles and sides in triangles.

Name: **Trigonometry Example Problem: Finding the Value of Side QR***Which
Uploaded: 2024-03-20T06:47:08.000Z
Channel: Bartleby
Description: **Trigonometry Example Problem: Finding the Value of Side QR***Which expression gives the value of \(QR\)?*In the given triangle \(QRS\), we have:- \( \angle Q = 80^\circ \)- \( \angle S = 52^\circ \)- Side \(QS = 51\)- Side \(RS = 67\)The options a