A ladder 10 m long leans against a wall and makes an angle of 60° with the ground. How high up the wall does it reach, and how far is its foot from the wall?
Heights and Distances
Original Khojo Papers practice question — not from a past board paper.
The angle of elevation is the angle the line of sight makes with the horizontal when the observer looks up at an object above eye level. The angle of depression is the angle the line of sight makes with the horizontal when the observer looks down at an object below eye level.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
For two points, the angle of elevation of the higher from the lower equals the angle of depression of the lower from the higher, because the two horizontals are parallel.
From the same topic and chapter, at a similar level.
A ladder 10 m long leans against a wall and makes an angle of 60° with the ground. How high up the wall does it reach, and how far is its foot from the wall?
Heights and Distances
If the angle of elevation of the sun is 45°, the length of the shadow of a vertical pole is:
Heights and Distances
The angle of elevation of the top of a tower from a point 30√3 m from its foot is 30°. Find the height of the tower.
Heights and Distances
From the top of a tower 50 m high, the angle of depression of a car on the ground is 45°. Find the distance of the car from the foot of the tower.
Heights and Distances
The angles of elevation of the top of a tower from two points on the same side of it and in line with its foot are 30° and 60°. If the points are 40 m apart, find the height of the tower.
Heights and Distances
A boy 1.5 m tall stands 20 m from a tree and finds the angle of elevation of its top to be 30°. Find the height of the tree.
Heights and Distances