List of top Mathematics Questions on Heights and Distances asked in Andhra Pradesh Polytechnic Common Entrance Test

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

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 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

Distance between the points (0, a) and (0, -a) 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

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.