A tunnel is planned through a mountain to connect points A and B on two existing roads. If the the angle between the roads at point C is 49°​, the distance between points A and C is 2000 ft, and the distance between points B and C is 3000 ​ft, what is the distance from point A to point​ B

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.5: Inequalities In A Triangles
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A tunnel is planned through a mountain to connect points A and B on two existing roads. If the the angle between the roads at point C is 49°​, the distance between points A and C is 2000 ft, and the distance between points B and C is 3000 ​ft, what is the distance from point A to point​ B?

What is the distance from point A to point​ B?

____ ft (Do not round until the final answer. Then round to the nearest tenth as​ needed.)

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