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O ADDITIONAL TOPICS IN TRIGONOMETRY
Max
Solving a word problem using the law of sines
Español
Alonzo and Jane are standing on a riverbank, 110 meters apart, at points A and B respectively. (See the figure below.) Jane is 140 meters from a house located
across the river at point C. Suppose that angle A (angle BAC) is 40°. What is the measure of angle B (angle ABC)? Round your answer to the nearest tenth of
a degree.
110 m
A
В
40°
O
?
140 m
Аа
4
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O ADDITIONAL TOPICS IN TRIGONOMETRY Max Solving a word problem using the law of sines Español Alonzo and Jane are standing on a riverbank, 110 meters apart, at points A and B respectively. (See the figure below.) Jane is 140 meters from a house located across the river at point C. Suppose that angle A (angle BAC) is 40°. What is the measure of angle B (angle ABC)? Round your answer to the nearest tenth of a degree. 110 m A В 40° O ? 140 m Аа 4

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Using the law of si...

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sin A sin B sin C b Consider Sin A _ sinC c sin 40 sin C 140 110 sin C Sin(40)x 110 140 sin C0.7066 140 sin C 0.5050 C =sin (0.5050) C 30.33

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