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The lower window of a house is at a height of 2 m above the ground and its upper window is 4 m above the lower window. At certain instant, the angles of elevation of a balloon from these windows are observed to be 60⁰ and 30°, respectively. Find the height of the balloon from the ground.
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Solution:
Given, the lower window of a house is at a height of 2 m above the ground
The upper window is 4 m vertically above the lower window.
The angles of elevation of a balloon from these windows are observed to be 60° and 30°
We have to find the height of the balloon above the ground
By comparing (1) and (2), we get,
h - 2/√3 = √3(h - 6)
h - 2 = 3(h - 6)
h - 2 = 3h - 18
3h - h = 18 - 2
2h = 16
h = 8m.
Therefore, the height of the balloon above the ground is 8m.
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