Question

A vertical tower stands on a horizontal plane and is surmounted by a flag staff
of height 14m. From a point on the ground the angle of elevation of bottom and
top of the flag staff are 45 and 60° respectively. Find the height of the tower
and distance of the point from the tower.
Please answer as soon as possible!​

Answer 1

Answer:

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Answer 2

⇒ In △CBD,tan30o=BCBD

⇒  31=xh

⇒  x=3h       ----- ( 1 )

⇒  In△ABC,tan45o=BCAB

⇒  1=x7+h

⇒  x=7+h

⇒  3h=7+h                [ From ( 1 ) ]

⇒  3h−h=7

⇒  (3−1)h=7

⇒  h=3−17

⇒  h=3−17×3+13+1

∴   h=3−17(3+1)=27(1.73+1)=9.55m

∴  Height \: of \: the \: tower \: is 9.55m