Home
Class 10
MATHS
A tower subtends an angle of 30^@ at a p...

A tower subtends an angle of `30^@` at a point on the same level as its foot. At a second point h metres above the first, the depression of the foot of the tower is `60^@` . The height of the tower is:

Text Solution

Verified by Experts

With the given details, we can draw the figure.
Please refer to video for he figure.
In the figure, `CD` is the height of the tower and `A` and `B` are the two given points such that `AB = h`
Let `AB = h, BC = y and CD = x`
Then, `h/y = tan60^@ => y = h/sqrt3`
Also, `x/y = tan 30^@ => x = y/sqrt3`
`=> x = (h/sqrt3)/(sqrt3) = h/3`
`:. ` Height of the tower is `h/3` metres.
Promotional Banner

Similar Questions

Explore conceptually related problems

A tower subtends an angle of 30^o at a point on the same level as its foot. At a second point h metres above the first, the depression of the foot of the tower is 60^o . The height of the tower is

A tower subtends an angle of 30^@ at a point on the same level as its foot. At a second point h metres above the first, the depression of the foot of the tower is 60^@ . The height of the lower is

A tower subtends an angle of 30o at a point on the same level as its foot. At a second point h metres above the first, the depression of the foot of the tower is 60o . The height of the tower is h/2m (b) sqrt(3)h m (c) h/3m (d) h/(sqrt(3))m

The electric pole subtends an angle of 30^(@) at a point on the same level as its foot. At a second point 'b' metres above the first, the depression of the foot of the tower is 60^(@) . The height of the tower (in towers) is equal to

The electric pole subtends an angle of 30^(@) at a point on the same level as its foot. At a second point 'b' metres above the first, the depression of the foot of the tower is 60^(@) . The height of the tower (in towers) is equal to

A tower subtends an angle of 30^@ at a point on the same level as the foot of the tower. At a second point h meter above the first, the depression of the foot of the tower is 60^@ . The horizontal distance of the tower from the point is

A tower subtends an angle of 30^@ at a point on the same level as the foot of the tower. At a second point h meter above the first, the depression of the foot of the tower is 60^@ . The horizontal distance of the tower from the point is

A tower subtends an angle of 30^(@) at a point on the same level as the foot of the tower.At a second point,h metre above first,point the depression of the foot of the tower is 60^(@), the horizontal distance of the tower from the points is

A tower subtends an angle α at a point on the same level as the root of the tower and at a second point, b meters above the first, the angle of depression of the foot of the tower is β. The height of the tower is