Find the Missing Parts of the Triangle $$\begin{array} { l } \mathrm { A } = 65.3 ^ { \circ } \\\mathrm { a } = 2.15 \mathrm {~km} \\\mathrm {~b} = 2.25 \mathrm {~km}\end{array}$$

question 54

Multiple Choice

Find the missing parts of the triangle.
- $$\begin{array} { l } \mathrm { A } = 65.3 ^ { \circ } \\\mathrm { a } = 2.15 \mathrm {~km} \\\mathrm {~b} = 2.25 \mathrm {~km}\end{array}$$
If necessary, round angles to the nearest tenth and side lengths to the nearest hundredth.

• A) no such triangle
• B) \(\mathrm { B } = 71.9 ^ { \circ } , \mathrm { C } = 42.8 ^ { \circ } , \mathrm { c } = 1.61 \mathrm {~km}\)
• C) \(\mathrm { B } _ { 1 } = 71.9 ^ { \circ } , \mathrm { C } _ { 1 } = 42.8 ^ { \circ } , \mathrm { c } _ { 1 } = 1.61 \mathrm {~km}\)
• D) \(\mathrm { B } _ { 1 } = 42.8 ^ { \circ } , \mathrm { C } _ { 1 } = 71.9 ^ { \circ } , \mathrm { c } 1 = 1.61 \mathrm {~km}\) \(\mathrm { B } _ { 2 } = 108.1 ^ { \circ } , \mathrm { C } _ { 2 } = 6.6 ^ { \circ } , \mathrm { c } _ { 2 } = 0.27 \mathrm {~km}\) \(\mathrm { B } _ { 2 } = 6.6 ^ { \circ } , \mathrm { C } _ { 2 } = 108.1 ^ { \circ } , \mathrm { c } _ { 2 } = 0.27 \mathrm {~km}\)

---

Definitions:

Margin of Error

The maximum expected difference between the true population parameter and a sample estimate of that parameter.

Mean

The average of a set of numbers, calculated by adding all the values together and dividing by the number of values.

T Distribution

A probability distribution used in statistical analysis that compares sample data to the standard normal distribution, especially useful when the sample size is small.

Population Standard Deviation

The standard deviation of a set of values that includes an entire population.