Determine whether the Law of Sines or the Law of Cosines is needed to solve the triangle. B = 13°, a = 155, b = 63 Law of Sines Law of Cosines Solve (if possible) the triangle. If two solutions exist, find both. Round your answers to two decimal places. (If two solutions exist, enter the solution set with the smaller A-value first. If a triangle is not possible, enter IMPOSSIBLE in each corresponding answer blank.) A1 = A2 = C1 = C2 = C1 = C2 =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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**Triangle Problem-Solving**

Determine whether the Law of Sines or the Law of Cosines is needed to solve the triangle.

Given:
- \( B = 13^\circ \)
- \( a = 155 \)
- \( b = 63 \)

Options:
- ☐ Law of Sines
- ☐ Law of Cosines

---

**Solve (if possible) the triangle.** If two solutions exist, find both. Round your answers to two decimal places. (If two solutions exist, enter the solution set with the smaller \( A \)-value first. If a triangle is not possible, enter IMPOSSIBLE in each corresponding answer blank.)

\[
\begin{align*}
A_1 &= \quad \, ^\circ & A_2 &= \quad \, ^\circ \\
C_1 &= \quad \, ^\circ & C_2 &= \quad \, ^\circ \\
c_1 &= \quad & c_2 &= \quad \\
\end{align*}
\]

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Transcribed Image Text:**Triangle Problem-Solving** Determine whether the Law of Sines or the Law of Cosines is needed to solve the triangle. Given: - \( B = 13^\circ \) - \( a = 155 \) - \( b = 63 \) Options: - ☐ Law of Sines - ☐ Law of Cosines --- **Solve (if possible) the triangle.** If two solutions exist, find both. Round your answers to two decimal places. (If two solutions exist, enter the solution set with the smaller \( A \)-value first. If a triangle is not possible, enter IMPOSSIBLE in each corresponding answer blank.) \[ \begin{align*} A_1 &= \quad \, ^\circ & A_2 &= \quad \, ^\circ \\ C_1 &= \quad \, ^\circ & C_2 &= \quad \, ^\circ \\ c_1 &= \quad & c_2 &= \quad \\ \end{align*} \] - **Need Help?** - [Read It] - [Watch It]
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