Height & Distan...

A tower PQ stands on a horizontal ground with base Q on the ground. The point R divides the tower in two parts such that QR = 15 m. If from a point A on the ground the angle of elevation of R is 60° and the part PR of the tower subtends an angle of 15° at A, then the height of the tower is :

Two buildings are standing opposite to each other on either side of the road. From a point on the road, ladder reaches building's window which is 12 m high from the ground. Keeping the foot of the ladder at the same point, the ladder is turned on the other side of the road and it reaches a window which is 9 m high from the ground. If the length of the ladder is 15 m, then the width of the road (in m) is :

The angle of elevation of a jet plane from a point A on the ground is 60°. After a flight of 20 seconds at the speed of 432 km/hour, the angle of elevation changes to 30°. If the jet plane is flying at a constant height, then its height is :

Consider a regular hexagon ABCDEF. There are two towers placed at B and D. The angle of elevation from A to the top of the tower at B is 30°, and to the top of the tower at D is 45°. What is the ratio of the heights of towers at B and D?

A man wishes to find the height of the building which stands on a horizontal plane. At a point on the plane, he finds the angle of elevation of the top of the building to be 60° and moving 10 m along the same line away from the building he finds the angle of elevation to be 30°. What is the height of the building?

On a plane area there are two vertical towers separated by 100 feet apart. The shorter tower is 40 feet tall. A pole of length 6 feet stands on the line joining the base of two towers so that the tip of the towers and tip of the pole are also on the same line. If the distance of the pole from the shorter tower is 75 feet, then what is the height of the taller tower (approximately)?

From a point A on the ground, the angle of elevation of the top of the building is 60°. If the distance between the point and building is 100m, then

Find the height of the building?

From a point A on the ground, the angle of elevation of the top of the building is 60°. If the distance between the point and building is 100m, then

If a string is attached from point A to the top of building then find the length of the string?

ABC is a triangular park with AB = AC = 100 metres. A vertical tower is situated at the mid-point of BC. If the angles of elevation of the top of the tower at A and B are cot⁻¹(3√2) and cosec⁻¹(2√2) respectively, then the height of the tower (in meters) is:

There are two buildings separated by a certain distance. The angle of elevation from the top of the small building towards the top of the long building is 30°. The angle of elevation from point A on the ground in between two buildings towards the top of the large building is 60°. The difference between the heights of the two buildings is 450 units. Find the height of the small building if the distance between the base of the small building and Point A is 150√3 units.