Question

The angles of depressions from the top of a light pole to the top and foot of a building are 450 and 600 respectively. If the height of the building is 12 m then find the height of the light pole and its distance from the buildin​

Answer 1

Answer:

Let AB and CD be the multi-storied building and the building respectively.

Let the height of the multi-storied building be hm and the distance between the two building be xm

AE=CD=8m                 [ Given ]

BE=AB−AE=(h−8)m and 

AC=DE=xm      [  Given ]

Now, in △ACB,

⇒  tan45o=ACAB

⇒  1=xh

∴  x=h          ---- ( 1 )

In △BDE,

⇒  tan30o=EDBE

⇒  31=xh−8

∴  x=3(h−8)             ------ ( 2 )

⇒  h=3h−83

⇒  3h−h=83

⇒  h(