Question

A vertical tower stands on a horizontal plane and is surmounted by a vertical flag staff of height h. At a point on the plane, the angle of elevation of the bottom of the flag staff is and that of the top of the flag staff is β. Then the height of the tower is

Q: Answer-A vertical tower stands on a horizontal plane and is surmounted by a vertical flag staff of height h...

Apply tan in BCD Tan x K k x tan ---- 1 apply tan in ACD tan x K K h x tan ----- 2 Example like 1 and 2 x tan hx tan xtan tan h xtan xtan xtan h tan xtan tan h tan x h tan2 tan tan

A h tan α

B htanα / (tan β−tanα)

C htanα / (tanα−tan β)

D None of these

Practice Next

More Height and Distance Questions

From the top of a tower, the angle of depression of a car on the ground is 30°. After the car moves 40 m towards the tower in a straight line, the angle of...
From the top of a straight pillar 20 meters high, the angle of elevation of the top of a straight tower was 45°. If the tower was 70 meters high, then at w...
The angle of elevation of the top of a building from a point on the ground is 30° and moving 40 meters towards the building it becomes 60°. The height of t...
The angle of elevation of the top of a building from a point on the ground is 30° and moving 40 meters towards the building it becomes 60°. The hei...
Two buildings are collinear with the base of a tower and are at a distance 9m and 16m from the base of the tower. The angles of elevation from these two bu...
A long metallic cable is stretched from a point P on the ground to the top of a cliff, forming an angle of 30 ° with the horizontal ground. The total lengt...
The angle of depression of a point on the ground as seen from the top of a tower, 25 feet high, is 45°. Find the distance of the point on the ground from t...
From the top of a lighthouse, the angle of depression to the top and bottom of a tower is 30° and 45°, respectively. If the lighthouse is 210 metre...
From a watch tower of 150 m height, the angles of depression of two cliffs in a horizontal line through the base of the tower are 45° and 30°. Find the dis...
From a point on the ground, the angle of elevation of the top of a tower is 45 degrees. After moving 20 m away from the tower, the angle becomes 30 degree...

Relevant for Exams:

Hey! Ask a query

A vertical tower stands on a horizontal plane and is surmounted by a vertical flag staff of height h. At a point on the plane, the angle of elevation of the bottom of the flag staff is and that of the top of the flag staff is β. Then the height of the tower is

Detailed Solution

More Height and Distance Questions

Relevant for Exams:

Hey! Ask a query

Please Register/Login