Find the Missing Parts of the Triangle $$\begin{array} { l } \mathrm { A } = 10.5 ^ { \circ } \\\mathrm { a } = 149 \mathrm { ft } \\\mathrm { b } = 176 \mathrm { ft }\end{array}$$

question 205

Multiple Choice

Find the missing parts of the triangle.
- $$\begin{array} { l } \mathrm { A } = 10.5 ^ { \circ } \\\mathrm { a } = 149 \mathrm { ft } \\\mathrm { b } = 176 \mathrm { ft }\end{array}$$
If necessary, round angles to the nearest tenth and side lengths to the nearest foot.

• A) \(\mathrm { B } _ { 1 } = 12.4 ^ { \circ } , \mathrm { C } _ { 1 } = 157.1 ^ { \circ } , \mathrm { c } _ { 1 } = 318 \mathrm { ft }\)
• B) \(\mathrm { B } = 12.4 ^ { \circ } , \mathrm { C } = 157.1 ^ { \circ } , \mathrm { c } = 318 \mathrm { ft }\) \(B _ { 2 } = 167.6 ^ { \circ } , C _ { 2 } = 1.9 ^ { \circ } , c _ { 2 } = 27 \mathrm { ft }\)
• C) no such triangle
• D)
• \(\begin{array}{l}
• B_{1}=157.1^{\circ}, C_{1}=12.4^{\circ}, \mathrm{c}_{1}=318 \mathrm{f} \\
• B_{2}=1.9^{\circ}, C_{2}=167.6^{\circ}, \mathrm{c}_{2}=27 \mathrm{ft}
• \end{array}\)

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Definitions:

Gluteus Medius

A muscle located on the lateral aspect of the upper thigh, important for stabilizing the hip and pelvis during walking or running.

Gluteus Maximus

The largest and most superficial of the three gluteal muscles, responsible for movement of the hip and thigh.

Biceps Femoris

A muscle of the posterior thigh that is part of the hamstrings group, involved in knee flexion and hip extension.

Muscle Fiber

A single muscle cell, known for its ability to contract, enabling movement and force generation in the body.