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 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)*tan alpha.tan beta)/(tan alpha-tan beta)

An aeroplane is flying above a horizontal plane. The angle of depression of two consecutive mile stones at plane in opposite directions are respectively alpha and beta . Prove that height of the aeroplane is (tanalphatanbeta)/(tanalpha+tanbeta)

A vertical tower stands on a horizontal plane and is surmounted by a vertical flag staff of height h. At a point on the plane, the angles of Elevation of the bottom and the top of the flag staff are alpha and beta respectively. Prove that the height of the tower is (htanalpha)/(tanbeta - tanalpha)

A vertical tower sands on a horizontal plane and is surmounted by a vertical flag staff of height hdot At a point on the plane, the angles of elevation of the bottom and the top of the flagstaff are alpha and beta .Prove that the height of the tower (htanalpha)/(tanbeta-tanalpha)

From the top and bottom of a building of height h metres, the angles of elevation of the top of a tower are alpha and beta respectively. Then the height of the tower is :

A lamp post stands on a horizontal plane. From a point situated at a distance 150 m from its foot, the angle of elevation of the top is 30^(@). What is the height of the lamp post?

A vertical tower Stands on a horizontal plane and is surmounted by a vertical flag staff of height h. At a point on the plane, the angles of Elevation of the bottom and the top of the flag staff are alpha and beta respectively Prove that the height of the tower is (htanalpha)/(tanbeta - tanalpha)

A vertical tower Stands on a horizontal plane and is surmounted by a vertical flag staff of height h.At a point on the plane,the angles of Elevation of the bottom and the top of the flag staff are alpha and beta respectively Prove that the height of the tower is (h tan alpha)/(tan beta-tan alpha)

A lamp post stands on a horizontal plane. From a point situated at a distance 150 m from its foot, the angle of elevation of the top is 30^(@) . What is the height of the lamp post?