Latest Aditi Aptitude Question SOLUTION: The top and bottom of a tower were seen to be at angles of depression 30° and 60° from the top of a hill of height 100 m. Find the height of the tower

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(#M40155250) ADITI Category question SS Keep an EYE

The top and bottom of a tower were seen
to be at angles of depression 30° and 60° from the top of a
hill of height 100 m. Find the height of the tower

Asked In Aditi MohanRaj (8 years ago)

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Read Solution (1) :

neeraj  (8 years ago)

By making A diagram
AC represents the hill and DE represents the pole

Given that AC = 100 m

angleXAD = angleADB = 30° (∵ AX || BD )
angleXAE = angleAEC = 60° (∵ AX || CE)

Let DE = h

Then, BC = DE = h, AB = (100-h) (∵ AC=100 and BC = h), BD = CE

tan 60°=ACCE=>3√=100CE=>CE = 1003√--- (1)

tan 30°=ABBD=>13√=100−hBD=>13√=100−h(1003√)
(∵ BD = CE and Substituted the value of CE from equation 1 )=>(100−h)=13√×1003√=1003=33.33=>h=100−33.33=66.67 m

i.e., the height of the pole = 66.67 m

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