List of top Mathematics Questions on Heights and Distances asked in AP POLYCET

Two cars are seen from the top of a tower of height 75 m with angles of depression \(30^\circ\) and \(45^\circ\). If the cars are on opposite sides of the tower along the same line, the distance between them is:
A ladder is leaned against a wall with angle of \(60^\circ\) with the ground and its foot is 6 feet away from the wall. Then the length of the ladder is:
The angle formed by the line of sight with the horizontal when it is above the horizontal level is:
A tree is broken by wind, its upper part touches the ground at a point 10 metre from the foot of the tree and makes an angle of 45° with the ground. Then what is the entire height of the tree?
If two towers of heights h1, and h2 subtend angles of 30° and 60° respectively at the midpoint of the line joining their feet, then the ratio of h1: h2 is
If two towers of heights h1 and h2 subtend angles of 45° and 30° respectively at the midpoint of the line joining their feet, then the ratio of h1: h2 is
The angle of elevation of the sun, when shadow of a pole of 'h' metre height is \(\sqrt{3}\)h metre long is
Two poles of height 6 m and 11 m stand on a plain ground and the distance between their feet is 12 m, then the distance between their tops is
Distance between the points (0, a) and (0, -a) is
The length, breadth and height of a room are 10 m, 10√2 m and 10 m respectively. The angle of elevation of a top corner of room from any point on a diagonal of the base of the room is
A man is standing between two lamp posts on a horizontal line dividing the distance between them in the ratio 1:2. The height of man is 2 m. It is noticed that shadow of the man with respect to first lamp post just touches the foot of second lamp post. If the distance between the posts is 30 m, find the height of the first post.