from the top of a pillar of height 20m the angle of elevation and depression of the top and bottom of another killer are 30 degree and 45 degree respectively the height of the second pillar is
Answers
Height of second pillar = 31.55 m
Step-by-step explanation:
from the top of a pillar of height 20m the angle of elevation and depression of the top and bottom of another Pillar are 30° and 45°respectively
angle of depression 45°
=> Tan 45° = 1st Pillar height / Distance between pillars
=> 1 = 20/Distance between pillars
=> Distance between pillars = 20m
Height of another pillar above 1st pillar = d m
angle of elevation 30°
=> Tan 30° = Height of another pillar above 1st pillar / Distance between pillars
=> 1/√3 = d/20
=> d = 20/√3 m
Height of second pillar = 1st pillar height + d
= 20 + 20/√3
= 31.55 m
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