The angle of elevation of the top of a building from a point on the ground is 30°. On walking 20 m towards the building the angle becomes 60°. Find the height of the building.
Heights and Distances
Original Khojo Papers practice question — not from a past board paper.
51.96 m
No citable source has been recorded for this record. Treat it as practice material, not as fact.
If h is the height then tan 60° = h/30, so h = 30√3 = 30 × 1.732 = 51.96 m.
From the same topic and chapter, at a similar level.
The angle of elevation of the top of a building from a point on the ground is 30°. On walking 20 m towards the building the angle becomes 60°. Find the height of the building.
Heights and Distances
As the sun rises higher in the sky, the length of the shadow of a tower:
Heights and Distances
The shadow of a vertical pole is √3 times its height. Find the angle of elevation of the sun.
Heights and Distances
A kite is flying at a height of 60 m above the ground. The string is straight and makes an angle of 60° with the ground. Find the length of the string.
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