10. The upper `3/4` portion of a vertical pole subtends an angle `tan^-1(3/5)` at the point in the horizontal plane through its foot. The tangent of the angle subtended by the pole at the same point is

The upper 3/4 th portion of a vertical pole subtends an angle theta such that tan theta=3/5 at a point in the horizontal plane through its foot and at a distance 40m from the foot. Find the possible height of the vertical pole.

The angle of elevation of the top of a vertical tower from two points distance a and b from the base and in the same line with it, are complimentary .If theta is the angle subtended at the top of the tower by the line joining these points then sin theta =

Tangents are drawn from any point on the line x+4a=0 to the parabola y^2=4a xdot Then find the angle subtended by the chord of contact at the vertex.

Tangents are drawn from any point on the line x+4a=0 to the parabola y^2=4a xdot Then find the angle subtended by the chord of contact at the vertex.

If a chord AB of a circle subtends an angle theta(nepi//3) at a point C on the circumference such that the triangle ABC has maximum area , then

A flagstaff on the top of tower 80 m high, subtends an angle tan^(-1)(1/9) at point on the ground 100 m from the tower. The height of flagstaff is

Find the locus of a point, so that the join of (-5,1) and (3,2) subtends a right angle at the moving point.

Find the locus of a point, so that the join of (-5,1) and (3,2) subtends a right angle at the moving point.

The angle of elevation of the top of a vertical tower, from a point in the horizontal plane passing through the foot of the tower is theta . On moving towards the tower 192 metres, the angle of elevation becomes phi . If tan theta=5/12" and "tanphi=3/4 , then find the height of the tower.

A vertical pole PO is standing at the centre O of a square ABCD. If AC subtends an angle of 90^@ at the top , P of the pole, then the angle subtended by a side of the square at P is