From two points A and B on the same side of a building, the angles of elevation of the top of the building are 30° and 60° respectively. If the height of the building is 10 m, find the distance between A and B, correct to two decimal places.
Heights & Distances
1 Like

Question

From two points A and B on the same side of a building, the angles of elevation of the top of the building are 30° and 60° respectively. If the height of the building is 10 m, find the distance between A and B, correct to two decimal places.

Heights & Distances

1 Like

KnowledgeBoat · Accepted Answer

Let the height of the building be CD = 10 m, Let the distance from the base of the building to point B be x and point A be y. In right angled triangle CBD, In right angled triangle CBD, The distance between the two points is the difference between their distances from the tower (y - x): Hence, the distance between A and B is 11.55 m.

Mathematics

From two points A and B on the same side of a building, the angles of elevation of the top of the building are 30° and 60° respectively. If the height of the building is 10 m, find the distance between A and B, correct to two decimal places.

Heights & Distances

Related Questions

A vertical tower is 20 m high. A man standing at some distance from the tower knows that the cosine of the angle of elevation of the top of the tower is 0.53. How far is he standing from the foot of the tower?