Question

The angle of elevation of the top of a tower is 60 degree and the angle of elevation of the top of a chimney from the top of a tower is 60 degree and the angle of elevation of the top of a chimney from the top of a chimney from the top of a tower is 100m.State with the top of a chimney from the top of a tower 40m height of the tower is 40m find the height of the tower

Answer 1

Answer:

100×60=6000 this is light answer

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

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