1. After the Taal Volcano erupted, two personnel from the Philippine Institute of Volcanology and Seismology monitor the possible after effect of the said calamity. They set two points X and Y, 7000 meters apart on the same plane as the volcano. Station Y was the nearest point to the volcano. An angle of elevation was observed to be 8 degrees from Point X to the peak of volcano. Now, it erupts once again, emitted vertical smoke from the volcano's crater opening mouth and extends to an angle of inclination of 64 degrees now from both Point X and Y. Assuming smoke is emitted in a vertical axis, find the height of the smoke.

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1. After the Taal Volcano erupted, two personnel from the Philippine Institute of Volcanology and
Seismology monitor the possible after effect of the said calamity. They set two points X and Y, 7000
meters apart on the same plane as the volcano. Station Y was the nearest point to the volcano. An
angle of elevation was observed to be 8 degrees from Point X to the peak of volcano. Now, it erupts
once again, emitted vertical smoke from the volcano's crater opening mouth and extends to an angle
of inclination of 64 degrees now from both Point X and Y. Assuming smoke is emitted in a vertical
axis, find the height of the smoke.
Transcribed Image Text:1. After the Taal Volcano erupted, two personnel from the Philippine Institute of Volcanology and Seismology monitor the possible after effect of the said calamity. They set two points X and Y, 7000 meters apart on the same plane as the volcano. Station Y was the nearest point to the volcano. An angle of elevation was observed to be 8 degrees from Point X to the peak of volcano. Now, it erupts once again, emitted vertical smoke from the volcano's crater opening mouth and extends to an angle of inclination of 64 degrees now from both Point X and Y. Assuming smoke is emitted in a vertical axis, find the height of the smoke.
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