Solve the Right Triangle $$\mathrm { B } = 74 ^ { \circ } 24 ^ { \prime } , \mathrm { b } = 11 \mathrm {~km}$$

question 268

Multiple Choice

Solve the right triangle. If two sides are given, give angles in degrees and minutes.
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$$\mathrm { B } = 74 ^ { \circ } 24 ^ { \prime } , \mathrm { b } = 11 \mathrm {~km}$$
Round side lengths to one decimal place.

• A) \(\mathrm { A } = 15 ^ { \circ } 36 ^ { \prime } ; \mathrm { c } = 11.4 \mathrm {~km} ; \mathrm { a } = 3.1 \mathrm {~km}\)
• B) \(\mathrm { A } = 15 ^ { \circ } 36 ^ { \prime } ; \mathrm { c } = 40.9 \mathrm {~km} ; \mathrm { a } = 11.4 \mathrm {~km}\)
• C) \(\mathrm { A } = 15 ^ { \circ } 36 ^ { \prime } ; \mathrm { c } = 40.9 \mathrm {~km} ; \mathrm { a } = 3.1 \mathrm {~km}\)
• D) \(\mathrm { A } = 15 ^ { \circ } 36 ^ { \prime } ; \mathrm { c } = 11.4 \mathrm {~km} ; \mathrm { a } = 40.5 \mathrm {~km}\)

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Definitions:

Labor Quantity Variance

Labor quantity variance measures the difference between the actual number of hours worked and the number of hours that should have been worked according to standards, multiplied by the standard hourly wage rate.

Direct Labor Hours

The total hours of work contributed by employees who are directly involved in the manufacturing process.

Normal Standards

Guidelines or benchmarks used for measuring or evaluating performance, quality, or compliance in various fields.

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Unplanned or unexpected events that can affect the production process, requiring a company to adapt its resources or schedules.