Question

The angle of elevation of the top of the chimney from the foot of the tower is 60 degree and the angle of depression of the top of top of the chimney from the top of the tower is 30° if the height of the tower is 40 m find the height of the chimney during according to pollution control norms the minimum height of the smoke and it should be hundred state if the height of the above mentioned chimney meet smoke emitting chimney should be no

Answer 1

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Step-by-step explanation:

Answer 2

Given : the angle of elevation of the top of a chimney from the top of a tower is 60 degree and the angle of depression of the foot of the chimney from the top of the tower is 30 degree. if the height of the tower is 40m

To find : height of the chimney

Solution :

Tower height = 40 m

Let say chimney Height = H m

Chimney height above tower = H - 40 m

Horizontal Distance between tower & chimney = D m

angle of elevation of the top of a chimney from the top of a tower is 60°

=> Tan 60 = (H - 40)/ D

=> √3 = (H - 40)/ D

=> D√3 = H - 40

angle of depression of the foot of the chimney from the top of the tower is 30°

=> Tan 30 = 40/D

=> 1/√3 = 40/D

=> D = 40√3

=> D√3 = 120

H - 40 = 120

=> H = 160

Chimney height = 160 m

120 m above tower height

Meetings the pollution Norms

Meetings the pollution NormsHence obeying the law & environment friendly