Which of the following equations could be solved to determine the length of RS?

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]

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