PHILVOCS setup two stations to monitor the volcano. Two stations were located at point A and B, 7 km apart on the same horizontal plane as base of the volcano, B being closer to the volcano. From A, the angle of elevation of the top of the volcano is 8 degree. At height of the volcano's wrath, the vertical smoke emitted from the volcano's crater subtended an angle 64 degree on each station A and B. Assume the smoke and the stations to be in the same vertical plane, find the height of the volcano (in km).

Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
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PHILVOCS setup two stations to monitor the volcano. Two stations were located at point A and B, 7 km apart on the same horizontal plane as base of the volcano, B being closer to the volcano. From A, the angle of elevation of the top of the volcano is 8 degree. At height of the volcano's wrath, the vertical smoke emitted from the volcano's crater subtended an angle 64 degree on each station A and B. Assume the smoke and the stations to be in the same vertical plane, find the height of the volcano (in km).

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