Subhas, a 3.15 m tall tee, and an 11.25 m tall building are positioned such that their feet on the ground are collinear and the tree is located between Subhas and the building. The tree is located at a distance of 7.5 m from Subhas and at a distance of 45 m from the building. Further, the eyes of Subhas, the top of the tree, and the top of the building fall in one line. Find the height (in m) from the ground at which Subhas' eyes are situated.

A ladder makes an angle of 60° with the ground and its bottom is 3.7 m away from the wall. Find its length.

Aditya is standing on a light house of 150 m height and watching two boats on either side with angles of depression of 30^o and 60^o, respectively. Find the distance between the two boats.

A flagstaff stands on the top of a building. At a distance of 30 m away from the foot of the building, the angle of elevation of the top of the flagstaff is 60° and the angle of elevation of the top of the building is 30°. Find the height (in metres) of the flagstaff.

The angles of elevation of the top of a tower from two points X and Y (on opposite sides of the tower) at distances b² m and a² m, respectively, from the base and in the same straight line with it are complementary. The height (in m) of the tower is ________.

A ladder 14 m long just reaches the top of a vertical wall. If the ladder makes an angle of 60° with the wall, then the height of the wall is:

The length of a vertical rod and its shadow are in the ratio of $$2:\sqrt{12}.$$ Find the angle of elevation of the sun.​

The angle of elevation of the top of a tower from a point on the ground, which is 48 m away from the foot of the tower is 30°. Find the height of the tower.

A vertical stick 14 m long, casts a shadow 5 m long on the ground. At the same time, a tower casts a shadow of 44.5 m long on the ground. The height of the tower is _____.​

The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.5 m away from the wall.
The length of the ladder is: ​

From the top of a 60 m high building, the angles of depression of the top and bottom of a lamp post are 30° and 60°, respectively. Find the height of the lamp post.​