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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A: Given information are shown in below figure.

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A: Let's see the diagram below to understand what's going on:

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A: Let's draw the figure : A is top of the mountain. C and D are the point of observations.

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A: topic - inverse trigonometric ratios

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A:

Q: against

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A: According to the question:

Q: The communities of Wood Town and Green Village live in a valley. Communication between the two…

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A: Form the right triangle and use Trigonometric ratios.