An observer finds that the elevation of ...

An observer finds that the elevation of the top of a tower is `22.5^@` and after walking100 m towards the foot of the tower, he finds that the elevation of the top has increased to `67.5^@.` The height of the tower in metres is:

125

175

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

HEIGHTS AND DISTANCES
OBJECTIVE RD SHARMA|Exercise Exercise|45 Videos
EXPONENTIAL AND LOGARITHMIC SERIES
OBJECTIVE RD SHARMA|Exercise Chapter Test|20 Videos
INCREASING AND DECREASING FUNCTIONS
OBJECTIVE RD SHARMA|Exercise Chapter Test|20 Videos

Similar Questions

Explore conceptually related problems

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 a tower at a point is 45^(@) . After going 40 m towards the foot of the tower, the angle of elevation of the tower becomes 60^(@) . Find the height of the tower.

At a point 20 m away from the foot of a tower, the angle of elevation of the top of the tower is 30^@ The height of the tower is

From a point 20 m away from the foot of a tower, the angle of elevation of the top of the tower is 30^(@) . The height of the tower is

A person observed the angle of elevation of the top of a tower as 30o. He walked 50m towards the foot of the tower along level ground and found the angle of elevation of the top of the tower as 60o. Find the height of the tower.

From 40 m away from the foot of a tower , the angle of elevation of the top of the tower is 60^(@) .What is the height of the tower ?

The angle of elevation of the top of a tower at a point on the ground, 50 m away from the foot of the tower, is 60°. Find the height of the tower.

The angle of elevation of the top of a tower at a point on the line through the foot of the tower is 45^(@). After walking a distance towards the foot of the tower along the same horizontal line elevation of the top of the tower changes to 60^(@). Find the height of tower.

OBJECTIVE RD SHARMA-HEIGHTS AND DISTANCES-Exercise

If the elevation of the sun is 30^@ , then the length of the shadow c...
Text Solution
|
A ladder rests against a vertical wall at angle alpha to the horizonta...
Text Solution
|
From the top of a cliff 300 metres high, the top of a tower was obser...
Text Solution
|
The angles of elevation of the top of a tower at the top and the foot ...
Text Solution
|
A person standing on the bank of a river finds that the angle of elev...
Text Solution
|
A tower subtends an angle of 30^@ at a point on the same level as the ...
Text Solution
|
AB is a vertical pole and C is its mid point. The end A is on the leve...
Text Solution
|
The angle of depression of a point situated at a distance of 70 metres...
Text Solution
|
The angle of elevation of the top of a vertical tower from two points ...
Text Solution
|
An aeroplane flying horizontally , 1km above the ground , is observed...
Text Solution
|
At the foot of the mountain the elevation of its summit is 45^@, after...
Text Solution
|
At a distance 12 metres from the foot A of a tower AB of height 5 met...
Text Solution
|
A tower 50 m high , stands on top of a mount, from a point on the grou...
Text Solution
|
A person on a ship sailing north sees two lighthouses which are 6 km a...
Text Solution
|
An observer finds that the elevation of the top of a tower is 22.5^@ a...
Text Solution
|
A vertical lamp-post, 6m high, stands at a distance of 2 m from a wall...
Text Solution
|
The angle of elevation of the top of a vertical pole when observed ...
Text Solution
|
The upper (3/4)^(th) portion of a vertical pole subtends an angle "tan...
Text Solution
|
A person standing on the bank of a river observes that the angle of el...
Text Solution
|
A tower subtends angles alpha,2alpha,3alpha respectively, at point A ,...
Text Solution
|