Question

The angle of elevation of the top of a chimney from the foot of a tower is 60° and the angle of depression of the foot of the chimney from the top of the tower is 30°. If the height of tower is 40 m, find the height of smoke emitting chimney. According to pollution control norms, the minimum height of a smoke emitting chimney should be 100 m. What value is discussed in this guestion?

Answer 1

Let.AB : 10 m be the height of the tower and CD be the height of smoking chimney.

Considering right angled A.ABC, we have

Again, considering right triangle DBC, we have

The height of chimney is 40 m

Value : The height of the chimney causes to spread air pollution. So its height must be increased by 60 m.