Solve the Triangle Using the Labels as Shown in the Illustration

question 5

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) . $\angle A = 56.4$ °, a = 38.3 mi, c = 28.5 mi

• A) b = 38.3 mi, \(\angle B = 54.9\) °, \(\angle C = 68.7\) °
• B) b = 45.8 mi, \(\angle B = 54.9\) °, \(\angle C = 68.7\) °
• C) b = 38.3 mi, \(\angle B = 85.3\) °, \(\angle C = 38.3\) °
• D) b = 45.8 mi, \(\angle B = 38.3\) °, \(\angle C = 56.4\) °
• E) b = 45.8 mi, \(\angle B = 85.3\) °, \(\angle C = 38.3\) °

---

Definitions:

Objective Function

A critical component in optimization problems, representing the target quantity to be optimized, through minimization or maximization, within the constraints of the problem.

Net Present Value

A financial metric that calculates the value of a project or investment's expected future cash flows, discounted back to their present value.

Process

A series of actions or steps taken in order to achieve a particular end.

13-Inch Rolls

A specification often used in industries such as printing or paper manufacturing, referring to the width of rolls of material.