20. Two men standing on the same side of a tower in a straight line with it, measure the angles
of elevation of the top of the tower as 25 and 50% respectively. If the height of the tower is
70 m, find the distance between the two men
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Step-by-step explanation:
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Answer:
According to the given statement, the figure will be as shown alongside in the attached picture in which PQ is tower so PQ=70m.
A and B be the position of 2 people,such that <PAQ=25° and <PBQ=50°.
In ∆PAQ
tan 25°=PQ/AC
(The value of tan 25° is 0.4663)
Therefore,
0.4663=70/AQ
that is,
AQ=70/0.4663 m
= 150.118 m
In ∆PBQ,
tan 50°=PQ/BQ
(The value of tan 50° is 1.1918)
Therefore,
1.1918=70/BQ
that is,
BQ=70/1.1918 m
=58.735 m
Therefore,
The Distance between the two people
=AB=AQ=BQ
=(150.118-58.735)m
=91.38 m
hope it's helpfull
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