Question

Find the height of the two pillar with same height​

Answer 1

ED = AB = 25√3

Explanation:

Let ED = AB = X

DC = 100 - BC

Tan 60 =
`(√(3) )/(1) = (ED)/(DC)` =
`(X)/(100-BC)`

`√(3) (100-BC) = X`

Tan 30 =
`(1)/(√(3) ) = (AB)/(BC) = (X)/(BC)`

`(BC)/(√(3) ) = X`

`√(3) (100-BC) = (BC)/(√(3) ) \\3(100-BC) = BC\\300 - 3BC = BC\\300 = BC + 3BC\\300 = 4BC \\75 = BC`

X =
`(BC)/(√(3) ) = (75)/(√(3) )\\`

X = 25√3