From the top of a tower h m high, angles...

From the top of a tower h m high, angles of depression of two objects, which are in line with the foot of the tower are `alpha` and `beta(betagtalpha)`. Find the distance between the two objects.

Text Solution

Verified by Experts

The correct Answer is:

`h(cot alpha-cot beta)`m

Topper's Solved these Questions

SOME APPLICATIONS OF TRIGONOMETRY
CBSE COMPLEMENTARY MATERIAL|Exercise PRACTICE-TEST (SECTION-A)|4 Videos
SOME APPLICATIONS OF TRIGONOMETRY
CBSE COMPLEMENTARY MATERIAL|Exercise PRACTICE-TEST (SECTION-B)|3 Videos
SOME APPLICATIONS OF TRIGONOMETRY
CBSE COMPLEMENTARY MATERIAL|Exercise SHORT ANSWER TYPE QUESTIONS|20 Videos
REAL NUMBERS
CBSE COMPLEMENTARY MATERIAL|Exercise LONG ANSWER TYPE QUESTION|15 Videos
STATISTICS
CBSE COMPLEMENTARY MATERIAL|Exercise Practice -Test|5 Videos

Similar Questions

Explore conceptually related problems

From the top of a tower, the angles of depression of two objects on the same side of the tower are found to be alpha and beta(alpha gt beta) .If the distance between the objects is p metres, show that the height h of the tower is given by h=(p tan alpha tan beta)/(tan alpha - tan beta) metres.

From the top of a tower of height 180 m the angles of depression of two objects on either sides of the tower are 30^(@)and45^(@) . Then the distance between the objects are

From a tower 125 metres high the angle of depression of two objects ,which are in horizontal line through the base of the tower , are 45^(@)and30^(@) and they are on the same side of the tower The distance (in metres) between the objects is

From the top of a 96 m tower, the angles of depression of two cars, on the same side of the tower are alpha" and "beta respectively. If tanalpha=1/4" and "tanbeta=1/7 , then find the distance between two cars.

There are two points on the horizontal line passing through the foot of a tower in the same side of the tower. The angle of depression of these point from the top of the tower are 45^(@)" and "60^(@) respectively. Find the distance between the two point if the height if the tower is 150 metres.

From te top of a tower , 60 meters high, the angles of depression of the top and bottom of a pole are alpha and beta respectively .Find the height of the pole.

The angle of elevation of the top of a tower 30 m high from the foot of another tower in the same plane is 60^(@) and the angle of elevation of the top of the second tower from the foot of the first tower is 30^(@) . Find the distance between the two towers and also the height of the other tower.

From the top of a tower, the angles of depression of two objects P and Q (situated on the ground on the same side of the tower) separated at a distance of 100(3-sqrt3) m are 45^@ and 60^@ respectively. The height of the tower is

CBSE COMPLEMENTARY MATERIAL-SOME APPLICATIONS OF TRIGONOMETRY-LONG ANSWER TYPE QUESTIONS

The angle of elevation of a cloud from a point 60m above a lake is 30^...
Text Solution
|
A man standing on the deck of a ship, which is 10m above water level. ...
Text Solution
|
From a window 60 m high above the ground of a house in a street, the a...
Text Solution
|
The angle of elevation of a jet plane from a point A on the grund is 6...
Text Solution
|
A bird is sitting on the top of a 80 m high tree. From a point on the ...
Text Solution
|
If the angles of elevation of the top of a tower from two points at...
Text Solution
|
A boy standing on a horizontal plane finds a bird flying at a distance...
Text Solution
|
As observed from the top of a lighthouse, 100 m above sea level, the a...
Text Solution
|
The angles of elevation and depression of the top and bottom of a ligh...
Text Solution
|
The angles of elevation and depression of the top bottom of a light...
Text Solution
|
A fire in a building B is reported on telephone to two fire stat...
Text Solution
|
A 1.2 m tall girl spots a ballon moving with wind in a horizontal line...
Text Solution
|
The angle of elevation of cloud from a point 60 m above a lake is 30...
Text Solution
|
Two pillars of equal height stand on either side of a roadway which is...
Text Solution
|
The angle of elevation of the top of a tower from a certain point i...
Text Solution
|
A moving boat is observed from the top of a 150 m high cliff moving aw...
Text Solution
|
From the top of a 120 m hight tower a man observes two cars on the opp...
Text Solution
|
From the top of a tower h m high, angles of depression of two objects,...
Text Solution
|
A window of a house is h metres above the ground. From the window, the...
Text Solution
|