Question

the angle of elevation of the top of the chimney from the foot of the tower is 60° and the angle of depression of foot 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. ​

Answer 1

Answer:

use the tan 60 degree and tan 30 degree

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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