A lamp post standing at a point A on a c...

A lamp post standing at a point A on a circular path of radius r subtends an angle `alpha` at some point B on the path, and AB subtends an angle of `45^(@)` at any other point on the path, then height of the lampost is

`sqrt(2) r cot alpha`

`(r//sqrt(2)) tan alpha`

`sqrt(2) r tan alpha`

`(r // sqrt(2)) cot alpha`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

HEIGHTS AND DISTANCES
MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|15 Videos
HEIGHTS AND DISTANCES
MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS )|5 Videos
HEIGHTS AND DISTANCES
MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|3 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

A vertical tower subtends an angle of 60^(@) at a point on the same level as the foot of the tower. On moving 100 m further in line with the tower, it subtends an angle of 30^(@) at the point. Then, the height of the tower, it subtends an angle of 30^(@) at the point. Then, the height of the tower is

An equation chord joining the points (1,2) and (2,-1) subtends an angle of pi//4 at any point on the circumference is

Find the equation of the circle in which the chord joining the points (a,b) and (b,-a) subtends an angle of 45^(@) at any point on the circumference of the circle.

A lamp post is situated at the middle point M of the side AC of a triangular plot of ABC with BC=7m,CA=8 and AB=9m* Lamp post subtends an angle of 15^(0) at the point B. determine the height of the lamp post.

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

Each side of an equilateral triangle subtends an angle of 60^(@) at th...
Text Solution
|
A pole of 50 meter high stands on a building 250 m high. To an observe...
Text Solution
|
Two vertical poles of height a and b subtend the same angle 45^(@) at ...
Text Solution
|
A monument ABCD stands at A on a level ground. At a point P on the gro...
Text Solution
|
A vertical tower CP subtends the same angle theta, at point B on the h...
Text Solution
|
A man on the ground observes that the angle of elevation of the top of...
Text Solution
|
A statue, standing on the top of a pillar 25 m high, subtends an angle...
Text Solution
|
A tower BCD surmounted by a spire DE stands on a horizontal plane. At ...
Text Solution
|
A lamp post standing at a point A on a circular path of radius r subte...
Text Solution
|
A tree is broken by wind, its upper part touches the ground at a point...
Text Solution
|
From the top of a cliff of height a, the angle of depression of the f...
Text Solution
|
A river flows due North, and a tower stands on its left bank. From a p...
Text Solution
|
From a point a metres above a lake the angle of elevation of a cloud i...
Text Solution
|
A balloon of radious r suntends an angle alpha at the eyes of an obser...
Text Solution
|
Two poles of height a and b stand at the centers of two circular plots...
Text Solution
|
A tower is standing in the centre of an elliptic field. If Adya observ...
Text Solution
|
A tower of height h stands at a point O on the ground. Two poles of he...
Text Solution
|
Rajat observes that the angle of elevation of the first floor of a bui...
Text Solution
|
A pole of height h stands in the centre of a circular platform in the ...
Text Solution
|
The tangents of the angles subtended by a tower at four points A, B, C...
Text Solution
|