An observer finds that the angular eleva...

An observer finds that the angular elevation of a tower is `theta`. On advancing 3m towards the tower, the elevation is `45^(@)` and on advancing 2m further more towards the tower, the elevation is `90^(@)-theta`. The height of the tower is (assume the height of observer is negligible and observer lies on the same level as the foot of the tower)

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

HEIGHTS AND DISTANCES
MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL-2 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|15 Videos
HEIGHTS AND DISTANCES
MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS )|5 Videos
HEIGHTS AND DISTANCES
MCGROW HILL PUBLICATION|Exercise EXERCISE (CONCEPT - BASED ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|5 Videos
ELLIPSE
MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|6 Videos
HYPERBOLA
MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|8 Videos

Similar Questions

Explore conceptually related problems

On the level ground, the angle of elevation of a tower is 30^(@) . On moving 20 m nearer, the angle of elevation is 60^(@) . The height of the tower is

The angle of elevation of the top of a tower at a point G on the ground is 30^(@) . On walking 20 m towards the tower the angle of elevation becomes 60^(@) . The height of the tower is equal to :

The angle of elevation of the top of a tower at a point on level ground is 45^(@). When moved 20 m towards the tower, the angle of elevation becomes 60^(@). What is the height of the tower ?

The angle of elevation of the tip of a tower from a point on the ground is 45^(@) . Moving 21 m directly towards the base of the tower, the angle of elevation changes to 60^(@) . What is the height of the tower, to the nearest meter ?

The angle of elevation of the top of a tower as observed from a point on the ground is a and on moving 'a' metres towards the tower, the angle of elevation is beta . Prove that the height of the tower is (a tanalphatanbeta)/(tanbeta-tanalpha) .

MCGROW HILL PUBLICATION-HEIGHTS AND DISTANCES -EXERCISE (LEVEL-1 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))

From a point on the ground 100 m away from the base of a building, the...
Text Solution
|
From the top of a tower 100 m heigh, the angles of depression of two o...
Text Solution
|
An observer finds that the angular elevation of a tower is theta. On a...
Text Solution
|
ABC is a triangular park with all sides equal. If a pillar at A subten...
Text Solution
|
A kite is flying with the string inclined at 75^(@) to the horizon. If...
Text Solution
|
AB is a vertical pole. The end A is on the level ground .C is the midd...
Text Solution
|
A man in a boat rowed away from a cliff 150 m high takes 2 min, to cha...
Text Solution
|
A person standing on the bank of a river observes that the angle subte...
Text Solution
|
The elevation of the top of a mountain at each of the three angular po...
Text Solution
|
The angles of elevation of the top of a tower standing on a horizontal...
Text Solution
|
The upper three-quarters of a vertical pole subtends an angle tan^(-1)...
Text Solution
|
PQ is a vertical tower and A, B, C are three points on a horizontal li...
Text Solution
|
ABCD is a rectangular park with AB = a. A tower standing at C makes an...
Text Solution
|
Two circular path of radii a and b intersect at a point O and AB is a ...
Text Solution
|
Three poles of height a, b, c stand on the same side of a road and sub...
Text Solution
|
An aeroplane flying horizontally 1 km above the ground is observed at ...
Text Solution
|
If a flagstaff 6 metres high placed on the top of a tower throws a sha...
Text Solution
|
Three poles whose feet lie on a circle subtend angle alpha, beta, gamm...
Text Solution
|
A, B, C are three points on a vertical pole whose distances from the f...
Text Solution
|
A ladder rests against a wall at an angle of 35^(@). Its foot is pulle...
Text Solution
|