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 442

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) no such triangle
• \[\mathrm { B } _ { 2 } = 167.6 ^ { \circ } , \mathrm { C } _ { 2 } = 1.9 ^ { \circ } , \mathrm { c } _ { 2 } = 27 \mathrm { ft }\]
• C) \(\mathrm { B } _ { 1 } = 157.1 ^ { \circ } , \mathrm { C } _ { 1 } = 12.4 ^ { \circ } , \mathrm { c } 1 = 318 \mathrm { ft }\)
• D) \(\mathrm { B } = 12.4 ^ { \circ } , \mathrm { C } = 157.1 ^ { \circ } , \mathrm { c } = 318 \mathrm { ft }\) \(B _ { 2 } = 1.9 ^ { \circ } , C _ { 2 } = 167.6 ^ { \circ } , c _ { 2 } = 27 \mathrm { ft }\)

---

Definitions:

Consumer Goods

Goods that are produced and purchased for personal use, satisfying direct consumer wants and needs.

Opportunity Cost

Waiving the opportunity for improvement from multiple choices by deciding on one.

Linear Production

A type of production process where output increases at a constant rate as more inputs are added.

Production Possibility Frontier

A visual representation showcasing the maximum achievable outputs for two goods, predicated on a specified set of inputs like resources among others.