From the top of a cliff 25 m high the an...

From the top of a cliff 25 m high the angle of elevation of a tower is found to be equal to the angle of depression of the foot of the lower. The height of the tower is____

25 m

50 m

75 m

100 m

Text Solution

Verified by Experts

Topper's Solved these Questions

ANISHMALI UNTIED ACADEMY
UNITED BOOK HOUSE|Exercise EXERCISE|53 Videos
BARANAGAR RAMAKRISHAN MISSION HIGH SCHOOL
UNITED BOOK HOUSE|Exercise EXERCISE|55 Videos

Similar Questions

Explore conceptually related problems

From the top of a cliff of height a, the angle of depression of the foot of a certain tower is found to be double the angle of elevation of the top of the tower of height h. If theta be the angle of elevation, then prove that tan theta = sqrt(3-(2h)/(a)) .

A tower subtends an angle α at a point on the same level as the root of the tower and at a second point, b meters above the first, the angle of depression of the foot of the tower is β. The height of the tower is

From the bottom of a pole of height h, the angle of elevation of the top of a tower is alpha . The pole subtends an angle beta at the top of the tower. find the height of the tower.

A large balloon has been tied with a rope and it is floating in the air. A person has observed the balloon from the top of a building at angle of elevation of theta_(1) and foot of the rope at an angle of depression of theta_(2 ) . The height of the building is h feet. Draw the diagram for this data.

From the top of a building, the angle of elevation of the top of a cell tower is 60^(@) and the angle of depression to its foot is 45^(@) . If distance of the building from the tower is 7m, then find the height ofthe tower.

From the bottom of a pole of height h the angle of elevation of the top of a tower is alpha and the pole subtends an angle beta at the top of the tower . Prove that the height of the tower is (h cot(alpha - beta))/(cot(alpha - beta) - cot alpha) .

From the top of a tower , which is 240m high , if the angle of depression of a point on the ground is 30^@ . then the distance of the point from the foot of the tower is

From the foot of a 60m high tower the angle of elevation of a minar is 60^@ and from the top, it is 30^@ . Find the height of the minar.

A tower subtends an angle of 30^@ at a point on the same level as its foot. At a second point h metres above the first, the depression of the foot, of the tower is 60^@ . The height of the tower is____

The shadow of a tower , when the angle of elevation of the sun is 45^@, is found to be 10m longer than when it was 60^@ . The height of the tower is

UNITED BOOK HOUSE-Application of Trigonnometric Ratios : Heights of Distance-Exercise

The shadow of a tower is 16 metre when the angle of elevation of the s...
Text Solution
|
The angle of elevation of the sun, when the length of the shadow of a ...
Text Solution
|
An observer of 1.6m tall is 20sqrt3 away from a tower. The angle of e...
Text Solution
|
When a point is observed, the angle formed by the line of sight with t...
Text Solution
|
When we lower our head to look at the object, the angle formed by the ...
Text Solution
|
When the length of the shadow of a pillar is equal to its height, the ...
Text Solution
|
The tops of two poles of height 10 m and 18 m are connected with wire....
Text Solution
|
If the angle of elevation of the top of a tower from two points distan...
Text Solution
|
If the angles of elevation of a tower from two points distance a and b...
Text Solution
|
Two persons are a metres a part and the height of one is double that o...
Text Solution
|
The angle of elevation of a cloud from a point 200 m above a lake is...
Text Solution
|
A tower subtends an angle of 30^@ at a point on the same level as its ...
Text Solution
|
From a light house the angles of depression of two ships on opposite s...
Text Solution
|
The angle of elevation of the top of a tower standing on a horizontal ...
Text Solution
|
It is found that on walking x metres towards a chimney in a horizontal...
Text Solution
|
From the top of a cliff 25 m high the angle of elevation of a tower is...
Text Solution
|
Find the angle of depression of a boat from the bridge at a horizontal...
Text Solution
|
In the figure D is the midpoint of BC, angleCAB = alpha, angleDAB = be...
Text Solution
|
The length of the shadow of a tower standing on level ground is found ...
Text Solution
|
The angle of elevation of a cloud from a point 200 m above a lake is...
Text Solution
|