A tower subtends an angle alpha at a poi...

A tower subtends an angle `alpha` at a point A on the same level as the foot of the tower B is a point vertically above A and AB = h metres. The angle of depression of the foot of the tower from B is `beta`. The height of the tower is

`htanalphacotbeta`

`htanalphatanbeta`

`hcotalphacotbeta`

`hcotalphatanbeta`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

HEIGHTS AND DISTANCES
AAKASH SERIES|Exercise PRACTICE SHEET Exercise-I (Level-II) (Straight Objective Type Questions)|13 Videos
HEIGHTS AND DISTANCES
AAKASH SERIES|Exercise LECTURE SHEET Exercise-I (Straight Objective Type Questions)|27 Videos
FUNCTIONS
AAKASH SERIES|Exercise PRACTICE EXERCISE|50 Videos
HYPERBOLIC FUNCTIONS
AAKASH SERIES|Exercise PRACTICE SHEET EXERCISE-II (STRAIGHT OBJECTIVE TYPE QUESTIONS)|18 Videos

Similar Questions

Explore conceptually related problems

From the top of a chiff 30 metres high, the angle of elevation of the top of a tower is found to be equal to the angle of depression of the foot of the tower. The height of the tower is

From the top of a cliff 60 mt high, the angles of depression of top and bottom of a tower are 30^@,60^@ . The height of the tower is

The angle of elevation of a tower from a point on the same level as the foot of the tower is 30^@ on advancing 150 meters towarsd the foot of the tower, the angle of elevation of the tower becomes 60^@ . Find the height of the tower.

The angle of elevation of the top of a tower from a point on the same level as the foot of the tower is 15^@ . On moving 100 metres towards the tower, the angle of elevation increases to 30^@ . The height of the tower is

From the top of a building 60 m high the angle of elevation of the top of a tower is found to be angle of depression of the foot of the tower. The height of the tower in meter is

A Tower stands at the centre of a circular park. A and B are two points on the boundary of the park such that AB (a) subtends an angle of 60^(@) at the foot of the tower, and the angle of elevation of the top of the tower from A or B is 30°. The height of the tower is

The angles of elevation of a tower from two points which are at distances h_1 and h_2 from the foot of the tower on the same side are complementary. The height of the tower is

The angle of elevation of a tower from two point which are distance h_1 and h_2 from the foot of the tower on the same side are complementary . The height of the tower is

What change will be observed in the angle of elevation as we approach the foot of the tower?

AAKASH SERIES-HEIGHTS AND DISTANCES-PRACTICE SHEET Exercise-I (Level-I) (Straight Objective Type Questions)

From the top of a tree, a man observes the angle of deppression of a p...
Text Solution
|
From the top of a chiff 30 metres high, the angle of elevation of the ...
Text Solution
|
A tower subtends an angle alpha at a point A on the same level as the ...
Text Solution
|
From the top of the hill h meers high the angles of depressinons of th...
Text Solution
|
The angle of elevation of a stationar cloud from a point 2500 m above ...
Text Solution
|
The angle of elevation of the top point P of a vertical tower PQ of he...
Text Solution
|
The angle of elevation of the top of the tower is 45^(@) on walking up...
Text Solution
|
A flag-staff stands on a tower which is on level ground. The total hei...
Text Solution
|
A flag staff stands vertically on a pillar. The height of the flag sta...
Text Solution
|
A tower stands at the top a hill whose height is three times the heigh...
Text Solution
|
The upper 3/4th portion of a vertical pole subtends an angle tan^(-1)(...
Text Solution
|
A verrical pole subtends an angle tan^(-1)"1/2 at a points P on the gr...
Text Solution
|
A vertical pole more than 100ft high consists of two portions the lowe...
Text Solution
|
A straight pole A subtend a right angle at a point B of another pole a...
Text Solution
|
A tower of x metres high, has a flagstaff at its top. The tower and th...
Text Solution
|
From a point E on the horizontal due to east of a tree, the top of the...
Text Solution
|
A vertical pole subtends an angle Tan^-1(1/2) at a point P on the grou...
Text Solution
|
The height of a hill is 3300 mts. From the point p on the ground the a...
Text Solution
|
An aeroplane is moving one kilometer high from west to east horizontal...
Text Solution
|
A spherical balloon of radius 5 subtends an angle 60^(@) at a point on...
Text Solution
|