Solve the Triangle Using the Labels as Shown in the Illustration

question 39

Multiple Choice

Solve the triangle using the labels as shown in the illustration (round lengths of sides to three significant digits and angles to the nearest tenth of a degree) . $\angle B = 108.0$ °, c = 10.2 km, b = 31.0 km

• A) a = 10.2 km, \(\angle A = 18.2\) °, \(\angle C = 53.8\) °
• B) a = 31.0 km, \(\angle A = 53.8\) °, \(\angle C = 18.2\) °
• C) a = 26.3 km, \(\angle A = 53.8\) °, \(\angle C = 18.2\) °
• D) a = 31.0 km, \(\angle A = 18.2\) °, \(\angle C = 53.8\) °
• E) a = 26.3 km, \(\angle A = 18.2\) °, \(\angle C = 53.8\) °

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Definitions:

Standard Deviations

A measure of the amount of variation or dispersion of a set of values, used in statistics to quantify the spread of a data set.

Average Returns

The mean amount of profit or loss generated by an investment or portfolio over a specified period.

Utility Function

A mathematical representation of how consumers prioritize among different bundles of goods and services to achieve maximum satisfaction.

Wealth

The total value of all financial assets and physical possessions owned by an individual, household, or nation, minus any debts.