Two stations due south of a leaning tower which leans towards the north are at distances `aa n db` from its foot. If `alphabeta` be the elevations of the top of the tower from these stations, prove that its inclination `theta` to the horizontal is given by `cottheta=(bcotalpha-acotbeta)/(b-a)`

Two stations due south of a leaning tower which leans towards the north are at distances a and b from its foot If alpha and beta are the elevations of the top of the tower from these stations then prove that its inclination theta to the horizontal is given by cottheta =(bcotalpha-acotbeta)/(b-a)

The angle of elevation of the top of a tower from a point 40 m away from its foot is 60^(@) . Find the height of the tower.

On a straight line passing through the foot of a tower, two points C and D are at distances of 4 m and 16 m from the foot respectively. If the angles of elevation from C and D of the top of the tower are complementary, then find the height of the tower.

The angle of elevation of the of a tower at a distance of 120 m from its foot on a horizontal plane is found to be 30^(@) . Find the height of the tower.

The angle of elevation of the top of a tower. from a point on the ground and at a distance of 160 m from its foot, is fond to be 60^(@) . Find the height of the tower .

The angle of elevation of the top of a tower from two distinct points s and t from foot are complementary. Prove that the height of the tower is sqrt[st] .

P Q is a post of given height a , and A B is a tower at some distance. If alpha and beta are the angles of elevation of B , the top of the tower, at P and Q respectively. Find the height of the tower and its distance from the post.

A tree standing on horizontal plane is leaning towards east. At two points situated at distances a and b exactly due west on it, angles of elevation of the top are respectively alpha and beta . Prove that height of the top from the ground is ((b-a).tanalpha.tanbeta)/(tanalpha-tanbeta)

A 20 m high vertical pole and a vertical tower are on the same level ground in such a way that the angle of elevation of the top of the tower, as seen from the foot of the pole, is 60^(@) and the angle of elevation of the top of the pole as seen from the foot of the tower is 30^(@) . Find : the horizontal distance between the pole and the tower.

The angle of elevation of the top of a tower 30 m high from the foot of another tower in the same plane is 60^(@) and the angle of elevation of the top of the second tower from the foot of the first tower is 30^(@) . Find the distance between the two towers and also the height of the other tower.