An object is observed from three points `A, B,C` in the same horizontal line passing through the base of the object. The angle of elevation at `B` is twice and at `C` is thrice than that at `A`. If `AB=a, BC=b` prove that the height of the object is `h=(a/(2b))sqrt((a+b)(3b-a))`

An object is observed from three points A,B,C in the same horizontal line passing through the base of the object.The angle of elevation at B is twice and at C thrice that at A.If AB=a,BC=b prove that the height of the object is (a)/(2b)sqrt((a+b)(3b-a))

A balloon is observed simultaneously from three points A,B and C on a straight road directly under it.The angular elevation at B is twice and at C is thrice that at A .If the distance between A and B is 200metres and the distance between B and C is 100metres, then find the height of balloon above the road.

PQ is a vertical tower having P as the foot. A,B,C are three points in the horizontal plane through P. The angles of elevation of Q from A,B,C are equal and each is equal to theta . The sides of the triangle ABC are a,b,c, and area of the triangle ABC is . Then prove that the height of the tower is (abc) tantheta/(4)dot

The elevation of an object on a hill is observed from a certain point in the horizontal plane through its base,to be 30^(@) .After walking 60 meters towards it on level ground the elevation is found to be 45^(@) .Then the height of the object (in meters) is

The equation of a line passing through the points (a,b,c) and(a-b,b-c, c-a) is