Home
Class 10
MATHS
The angle of elevation of the top of a ...

The angle of elevation of the top of a chimney from the top of a 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.

Text Solution

Verified by Experts

in `/_ ABC`
`tan 30^@= AB/BC = 40/x`
`1/sqrt3= 40/x`
`x= 40*sqrt 3` m
in `/_ ADE`
`tan 60^@ = DE/AE`
`sqrt 3 = h/(4*sqrt 3)`
`h = 40*sqrt 3 * sqrt 3 = 120`m
...
Promotional Banner

Similar Questions

Explore conceptually related problems

The angle of elevation of the top of a chimney from the top of a tower is 60^@ and t he angle of depression of the 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. According to pollution control norms, the minimum height of a smoke emitting chimney should be 100 m. State if the height of the above mentioned chimney meets the pollution norms. What value is discussed in this question?

The angle of elevation of the top of a chimney from the top of a tower is 60o and t he angle of depression of the foot of the chimney from the top of the tower is 30o . If the height of the tower is 40 m, find the height of the chimney. According to pollution control norms, the minimum height of a smoke emitting chimney should be 100 m. State if the height of the above mentioned chimney meets the pollution norms. What value is discussed in this 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 the tower is 40m, find the height of the chimney. According to pollution control norms, the minimum height of a smoke-emitting chimney should be 100m. State if the height of the above mentioned chimney meets the pollution control norms. What value is discussed in this question?

The angle of elevation of the top of a hill from the foot of a tower is 60^(@) and the angle of elevation of the top of the tower from the foot of the hill is 30^(@) . If the height of the tower is 50 m, what is the height of the hill?

The angle of elevation of the top of a building from the foot of the tower is 30^@ and the angle of elevation of the top of the tower from the foot of the building is 60^@ .If the tower is 50 m high,find the height of the building

The angle of elevation of the top of a hill from the foot of a tower is 60^@ and the angle of elevation of the top of the tower from the foot of the hill is 30^@ . If the tower is 50 m high. Find the height of the hill.

The angle of elevation of the top of a hill from the foot of a tower is 60^(@) and the angle of elevation of the top of the tower from the foot of the hill is 30^(@) . If the tower is 50 m high, then what is the height of the hill?

The angle of elevation of the top of a building from the foot of the tower is 30^(@) and the angle of elevation of the top of the tower from the foot of the building is 60^(@) . If the tower is 30 m high, find the height of the building.

The angle of elevation of the top of a building from the foot of the tower is 30^(@) and the angle of elevation of the top of the tower from the foot of the building is 60^(@) . If the tower is 30 m high, find the height of the building.