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

A tower subtends an angle `alpha` at a point in the plane of its base and the angle of depression of the foot of the tower at a point b ft. just above A is `beta`. Then , height of the tower is

Text Solution

Verified by Experts

The correct Answer is:

`btanalphacotbeta`

Topper's Solved these Questions

HEIGHTS AND DISTANCES
ML KHANNA|Exercise Problem Set (2) MCQ.s|1 Videos
HEIGHTS AND DISTANCES
ML KHANNA|Exercise Problem Set (2) TRUE AND FALSE|4 Videos
HEIGHTS AND DISTANCES
ML KHANNA|Exercise Problem Set (1) TRUE AND FALSE|11 Videos
FUNCTIONS
ML KHANNA|Exercise SELF ASSESSMENT TEST |10 Videos
INEQUALITIES
ML KHANNA|Exercise PROBLEM SET (1)(FILL IN THE BLANKS)|4 Videos

Similar Questions

Explore conceptually related problems

A tower subtends an angle alpha at a point A in the plane of its base and the angle of depression of the foot of the tower at a point b ft just above A is beta . Then the height of the tower is

A tower subtends an angle alpha at a point A in the plane of its base and the angle of depression of the foot of the tower at a point b metres just above A is beta .Prove that the height of the tower is b tan alpha cot beta .

A tower subtends and angle 60^(@) at a point A in the plane of its base and the angle of depression of the foot of the tower at a point 10 meters just above A is 30^(@). The height of the tower 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

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:

A tower subtends an angle 75^(@) at a point on the same level as the foot of the tower and at another point, 10 meters above the first, the angle of depression of the foot of the tower is 15^(@) . The height of the tower is (in meters)

ML KHANNA-HEIGHTS AND DISTANCES-Problem Set (1) FILL IN THE BLANKS

The width of a road is b feet. On one side of which there is a window ...
Text Solution
|
The angle of elevation of the top of a pillar at any point A on the gr...
Text Solution
|
The angle of elevation of a tower from a point on the same level as th...
Text Solution
|
The angle of elevation of the top of a tower at a point A on the groun...
Text Solution
|
The height f a chimney when it is found that on walking towards it 100...
Text Solution
|
The shadow of a tower standing on a level ground is found to be 60 met...
Text Solution
|
A man in a boat rowed away from a cliff 150 m high takes 2 min, to cha...
Text Solution
|
An aeroplane flying horizontally , 1km above the ground , is observed...
Text Solution
|
The angle of elevation of the top and bottom of a flag staff fixed at ...
Text Solution
|
From the top of a cliff 200 ft. high, the angles of depression of the ...
Text Solution
|
A balloon moving in a straight line passes vertically above two points...
Text Solution
|
A balloon moving in a straight line passes vertically above two points...
Text Solution
|
A vertical pole (more than 100 ft. high) consists of two portions the ...
Text Solution
|
The angles of elevation of the top of a tower standing on a horizontal...
Text Solution
|
A tower of x metres height has flag staff at its top. The tower and th...
Text Solution
|
A wireless pole 25 metres high is fixed on a top of a verandah of a ho...
Text Solution
|
A round balloon of radius 'r' subtends an angle alpha at the eye of th...
Text Solution
|
A stationary balloon is observed from three points A, B and C on the p...
Text Solution
|
From the top of a pole of height h, the angle of elevation of the top ...
Text Solution
|
A tower subtends an angle alpha at a point in the plane of its base a...
Text Solution
|