A hot air balloon is released to the air and fly vertically upwards, with the assumption that no wind is blowing at the balloon. After a while, observer A and observer B, who are 2 km apart from each other, managed to see the balloon with the elevation angle of 40° and 70° respectively from the same level of horizontal line. With the aid of diagram, calculate distance of balloon from ground, assuming the balloon is above the horizontal line of the two observers.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Trigonometric Functions: Right Triangle Approach
Section5.1: Angle Measure
Problem 4E: Object A is travelling along a circle of radius 2, and Object B is travelling along a circle of...
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A hot air balloon is released to the air and fly vertically upwards, with the assumption
that no wind is blowing at the balloon. After a while, observer A and observer B,
who are 2 km apart from each other, managed to see the balloon with the elevation
angle of 40° and 70° respectively from the same level of horizontal line. With the aid
of diagram, calculate distance of balloon from ground, assuming the balloon is above
the horizontal line of the two observers.
Transcribed Image Text:A hot air balloon is released to the air and fly vertically upwards, with the assumption that no wind is blowing at the balloon. After a while, observer A and observer B, who are 2 km apart from each other, managed to see the balloon with the elevation angle of 40° and 70° respectively from the same level of horizontal line. With the aid of diagram, calculate distance of balloon from ground, assuming the balloon is above the horizontal line of the two observers.
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