Solve the Problem $99.6$ Meters from A $\mathrm { BAC }$ Is $77 ^ { \circ } 50 ^ { \prime }$

question 195

Multiple Choice

Solve the problem.
-Points A and B are on opposite sides of a lake. Point C is $99.6$ meters from A. The measure of angle $\mathrm { BAC }$ is $77 ^ { \circ } 50 ^ { \prime }$ , and the measure of angle $\mathrm { ACB }$ is determined to be $33 ^ { \circ } 50 ^ { \prime }$ . Find the distance between points $A$ and $B$ (to the nearest meter) .

• A) \(58 \mathrm {~m}\)
• B) \(30 \mathrm {~m}\)
• C) \(60 \mathrm {~m}\)
• D) \(28 \mathrm {~m}\)

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