QuestionApril 14, 2026

(sin 107)/(6.4)=(sin c)/(25)

(sin 107)/(6.4)=(sin c)/(25)
(sin 107)/(6.4)=(sin c)/(25)

Solution
3.6(173 votes)

Answer

No solution (impossible in real angles) Explanation 1. Isolate \sin c Multiply both sides of \frac{\sin 107}{6.4} = \frac{\sin c}{25} by 25: \sin c = \frac{25 \cdot \sin 107}{6.4} 2. Calculate \sin 107 \sin 107^\circ \approx 0.9563 (using calculator). 3. Compute \sin c \sin c \approx \frac{25 \cdot 0.9563}{6.4} \approx 3.735 4. Interpret result Since \sin c > 1, no real angle exists; this case is impossible.

Explanation

1. Isolate $\sin c$ <br /> Multiply both sides of $\frac{\sin 107}{6.4} = \frac{\sin c}{25}$ by $25$:<br />$\sin c = \frac{25 \cdot \sin 107}{6.4}$ <br /><br />2. Calculate $\sin 107$ <br /> $\sin 107^\circ \approx 0.9563$ (using calculator). <br /><br />3. Compute $\sin c$ <br /> $\sin c \approx \frac{25 \cdot 0.9563}{6.4} \approx 3.735$ <br /><br />4. Interpret result <br /> Since $\sin c > 1$, no real angle exists; this case is impossible.
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