A Flagstaff stands on the middle of a square tower . A man on the the ground opposite the middle of one face and distance from it 100 feet , just sees the flag ; on his receding another 100 feet , the tangents of elevation of of the top of the tower and the top of the flagstaff are found to be 1/2 and 5/9 . Find the dimensions of the tower and the height of the flagstaff , the ground being horizontal ?
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Answer:
height of tower/200
=1/2 (when he has moved away to 200')
so h t =1*200/2
=100 feet ANS 1
Step-by-step explanation:
But before moving to 200'
(h t + height of flag)/100
=5/9=(100+ h f)/100
so
sum of both heights
=(h f/100) +(100/100)
=5/9
so
(h f/100)=(5/9)-1
but height of tower plus height of flag CAN'T be less than height of tower.
So there is a mistake in question and the tangent ratios should be interchanged.
Tried by interchanging tangents. But evenso
(h f)/100 or height of flag gives me a negative figure.
WRONG AGAIN.
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