Solve Each Triangle Using the Labels as Shown in the Illustration

question 52

Multiple Choice

Solve each 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) . $\angle A = 64.0$ °, a = 133 mi, c = 119 mi

• A) b = 119 mi, \(\angle B = 62.5\) °, \(\angle C = 53.5\) °
• B) b = 131 mi, \(\angle B = 62.5\) °, \(\angle C = 53.5\) °
• C) b = 119 mi, \(\angle B = 42.6\) °, \(\angle C = 73.4\) °
• D) b = 131 mi, \(\angle B = 62.5\) °, \(\angle C = 73.4\) °
• E) b = 131 mi, \(\angle B = 42.6\) °, \(\angle C = 73.4\) °

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Definitions:

Density

The mass of a substance per unit volume, often measured in grams per cubic centimeter or kilograms per cubic meter.

Mass

A property of physical objects that quantifies the amount of matter within them, typically measured in kilograms or grams.

Volume

A measure of the amount of space an object or substance occupies.

Dense

Having a high concentration of mass or substance in a specified volume; commonly used to describe objects or materials that are tightly composed without much space between particles.