SOLUTION: Points A and B are on opposite sides of a lake. A point C is 105.6 meters from A. The measure of ∠BAC is 70.5°, and the measure of ∠ACB is determined to be 38.833°. Fin
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Question 1120774: Points A and B are on opposite sides of a lake. A point C is 105.6 meters from A. The measure of ∠BAC is 70.5°, and the measure of ∠ACB is determined to be 38.833°. Find the distance between points A and B (to the nearest meter).
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Given the measures of two of the angles of a triangle, the third is easily computed by adding the measures of the two given angles and subtracting the sum from 180°. Once the measure of angle ABC (hereinafter angle B) is known, use the Law of Sines:
}\ =\ \frac{AB}{sin(38.833^\circ)})
John
My calculator said it, I believe it, that settles it
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