Solve the Right Triangle $B = 53 ^ { \circ } 47 ^ { \prime } , b = 25 \mathrm {~km}$

Multiple Choice

Solve the right triangle. If two sides are given, give angles in degrees and minutes.
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$B = 53 ^ { \circ } 47 ^ { \prime } , b = 25 \mathrm {~km}$
Round side lengths to one decimal place.

A) $\mathrm { A } = 36 ^ { \circ } 13 ^ { \prime } ; \mathrm { c } = 42.3 \mathrm {~km} ; \mathrm { a } = 18.3 \mathrm {~km}$
B) $\mathrm { A } = 36 ^ { \circ } 13 ^ { \prime } ; \mathrm { c } = 31.0 \mathrm {~km} ; \mathrm { a } = 18.3 \mathrm {~km}$
C) $\mathrm { A } = 36 ^ { \circ } 13 ^ { \prime } ; \mathrm { c } = 42.3 \mathrm {~km} ; \mathrm { a } = 31.0 \mathrm {~km}$
D) $\mathrm { A } = 36 ^ { \circ } 13 ^ { \prime } ; \mathrm { c } = 31.1 \mathrm {~km} ; \mathrm { a } = 42.0 \mathrm {~km}$