The angle of elevation of the top of a t...

The angle of elevation of the top of a tower by standing on a horizontal'plane at a point `A` is `15^(circ)`. After walking `40 m` from `A` towards tower this angle becomes `30^(circ) .` The height of the tower (in metres) is

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

PROPERTIES AND SOLUTIONS OF TRIANGLE
CENGAGE|Exercise JEE Advanced Previous Year|11 Videos
Quadratic Equations, Inequalities, Modulus and Logarithms
CENGAGE|Exercise Question Bank|31 Videos

Similar Questions

Explore conceptually related problems

The angle of elevation of the top of a tower standing on a horizontal plane from a point A is alpha . After walking a distance d towards the foot of the tower the angle of elevation is found to be beta . The height of the tower is (a)d/(cotalpha+cotbeta) (b) d/(cotalpha-cotbeta) (c)d/(tanbeta-t a nalpha) (d) d/(tanbeta+tanalpha)

The elevation of the top of a tower from a point on the ground is 45^(@) . On travelling 60 m from the point towards the tower, the alevation of the top becomes 60^(@) . The height of the tower, in metres, is

The angle of elevation of the top of a tower from a point on the ground is 30^(@) . After walking 40sqrt3 m towards the tower, the angle of elevation becomes 60^(@) . Find the height of the tower.

The angle of elevation of the top of a tower from a point on the ground is 30^(@) . After walking 45 m towards the tower, the angle of elevation becomes 45^(@) . Find the height of the tower.

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 A on the ground is 30^(@) . On walking 20 meters toward the tower, the angle of elevation is 60^(@) . Find the height of the tower and its distance from A.

CENGAGE-PROPERTIES OF TRIANGLE, HEIGHT AND DISTANCE-Question Bank

Figure shows triangle A B C such that A B=A C=5, B C= 6. Point D is on...
Text Solution
|
In acute Delta A B C, ratio of distance of orthocentre from vertex A a...
Text Solution
|
If a, b, c are in A.P. then the numerical value of 3 tan A/2 tan ...
Text Solution
|
In A B C, if A B=10, B C=8, C A=12 and a point D is taken on A B such...
Text Solution
|
Consider the triangle pictured as shown. If 0 lt alpha lt pi / 2 then ...
Text Solution
|
In A B C, if a=2, r=1/(sqrt3) and angle A=60^circ and the length of m...
Text Solution
|
Given a O A B has sides O A=7, A B=11 and O B=14. T is 'the mid point ...
Text Solution
|
The angle of elevation of the top of a tower by standing on a horizont...
Text Solution
|
An aeroplane flying at a height 300 metre above the ground passes vert...
Text Solution
|
The angles of elevation of the top of a tower at the top and the foot ...
Text Solution
|
A flagstaff on the top of the tower 80 meter high, subtends an angle t...
Text Solution
|
A 6 -ft tall man finds that the angle of elevation of the top of a 24 ...
Text Solution
|
A flagstaff 5 ~m high is placed on a building 25 m high. If the flag a...
Text Solution
|
A man standing on a level plane oberves the elevation of the top of a ...
Text Solution
|
Two parallel towers A and B of different heights are at some distance ...
Text Solution
|
A man from the top of a 100 metres high tower sees a car moving toward...
Text Solution
|
From the top of a light house, 60 m high with its base at sea level, t...
Text Solution
|
At a point A, the angle of elevation of a tower is such that its tange...
Text Solution
|
A man of height 6 ft. observe the top of a tower and the foot of the t...
Text Solution
|
For a man, the angle of elevation of the highest point of the temple s...
Text Solution
|