Answer:
[tex] \frac{Sin(80)}{RS} = \frac{Sin(52.5)}{7} [/tex]
Step-by-step explanation:
Given:
S = 52.5°
s = QR = 7
Q = 80°
q = RS = ?
Required:
Equation that could be used to find the length of RS
Solution:
We would need the law of Sines which is given as:
[tex] \frac{Sin(A)}{a} = \frac{Sin(B)}{b} = \frac{Sin(C)}{c} [/tex]
Applying the Law of Sines, we would have the following equation:
[tex] \frac{Sin(Q)}{q} = \frac{Sin(S)}{s} [/tex]
Plug in the values
[tex] \frac{Sin(80)}{RS} = \frac{Sin(52.5)}{7} [/tex]
Therefore, the equation that can be used to determine the length of RS is [tex] \frac{Sin(80)}{RS} = \frac{Sin(52.5)}{7} [/tex]
