Question

1. \sin c

a) \frac{17}{8}
b) \frac{15}{17}
c) \frac{17}{15}
d) \frac{8}{17}

Explanation:

Identify the side lengths relative to angle C

$$
LATEXBLOCK0
$$

Apply the sine ratio formula

$$ \sin C = \frac{\text{Opposite}}{\text{Hypotenuse}} = \frac{30}{34} $$

Simplify the fraction

$$ \sin C = \frac{30 \div 2}{34 \div 2} = \frac{15}{17} $$

Answer:

• A) \(\frac{17}{8}\)
• B) \(\frac{15}{17}\) (Correct answer)
• C) \(\frac{17}{15}\)
• D) \(\frac{8}{17}\)