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stepladder [879]
3 years ago
12

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

Mathematics
1 answer:
stich3 [128]3 years ago
4 0

Answer:

\frac{Sin(80)}{RS} = \frac{Sin(52.5)}{7}

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:

\frac{Sin(A)}{a} = \frac{Sin(B)}{b} = \frac{Sin(C)}{c}

Applying the Law of Sines, we would have the following equation:

\frac{Sin(Q)}{q} = \frac{Sin(S)}{s}

Plug in the values

\frac{Sin(80)}{RS} = \frac{Sin(52.5)}{7}

Therefore, the equation that can be used to determine the length of RS is \frac{Sin(80)}{RS} = \frac{Sin(52.5)}{7}

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