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

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) $\mathrm { A } = 15 ^ { \circ } 36 ^ { \prime } ; \mathrm { c } = 11.4 \mathrm {~km} ; \mathrm { a } = 40.5 \mathrm {~km}$

Correct Answer:

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