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Class 10th Maths Question✌
The lower window of a house is at a height of 2 m above the ground and its upper
window is 4 m vertically above the lower window. At certain instant the angles of
elevation of a balloon from these windows are observed to be 60° and 30°
respectively. Find the height of the balloon above the ground.
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Answer:
the height of the balloon from the ground= H = 6+x=(6+2)m=8m
Explanation:
Let the height of the balloon from the ground be H m
∴H= (6+ x) m
Now,
tan60= (4+x)/y
⇒ √3=(4+x)/y
⇒y=(4+x)/√3............(i)
tan 30= x/y
⇒1/√3=x/y
⇒y=x√3.....................(ii)
From (i) & (ii)
(4+x)/√3=x√3
⇒ 4 + x = 3x
⇒ 4= 3x - x
⇒x=2
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