Solve
-Points $\mathrm { A }$ And $\mathrm { B }$ Are on Opposite Sides of a Lake

question 86

Multiple Choice

Solve.
-Points $\mathrm { A }$ and $\mathrm { B }$ are on opposite sides of a lake. A point $\mathrm { C }$ is $89.2$ meters from $\mathrm { A }$ . The measure of angle BAC is $75 ^ { \circ } 40 ^ { \prime }$ , and the measure of angle $\mathrm { ACB }$ is determined to be $39 ^ { \circ } 30 ^ { \prime }$ . Find the distance between points $\mathrm { A }$ and $\mathrm { B }$ (to the nearest meter) .

• A) \(30 \mathrm {~m}\)
• B) \(61 \mathrm {~m}\)
• C) \(32 \mathrm {~m}\)
• D) \(63 \mathrm {~m}\)

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Definitions:

Probability

The measure of the likelihood that an event will occur, often represented as a number between 0 and 1.

Negation

The logical operation that inverts the truth value of a proposition or statement.

Probability

The degree to which something is probable; the extent to which an event is likely to happen.

Event A

A specific occurrence or happening, often denoted in probability and statistics as a measurable outcome.