The elevation of a tower at a station A due north of it is `alpha` and at a station B due west of A is `beta`. Prove that the height of the tower is `(ABsinalphasinbeta)/(sqrt(sin^2alpha -sin^2beta))`

The elevation of a tower at a station A due North of it is alpha and at a station B due West of A is beta . Prove that height of the tower is (A B sinalpha sinbeta)/(sin^2alpha-sin^2beta) .

The angle of elevation of a tower PQ at a point A due north of it is 30^(@) and at another point B due east of A is 18^(@) . If AB =a. Then the height of the tower is

The angular elevation of a tower OP at a point A due south of it is 60^@ and at a point B due west of A, the elevation is 30^@ . If AB=3m, the height of the tower is

The angle of elevation of the top of a tower from a point A due south of the tower is alpha and from B due east of tower is beta . If AB=d , show that the height of the tower is d/sqrt(cot^2 alpha+ cot^2 beta) .

The angle of elevation of the top of a tower from a point A due south of the tower is alpha and from B due east of tower is beta . If AB=d , show that the height of the tower is d/sqrt(cot^2 alpha+ cot^2 beta) .

Problem on sine rule Type:-2 (i)The angle of elevation of the top of the tower from a point A due South of the tower is alpha and from B due east of the tower is beta . If AB=d Show that the height of the tower is d/(sqrt(cot^2alpha+cot^2beta)) (ii) A tree stands vertically on a hill side which makes an angle of 15^@ with the horizontal. From a point on the ground 35m down the hill from the base of the tree ; the angle of elevation of the top of the tree is 60^@ .find the height of the tree ?

Prove that: tan(alpha+beta)tan(alpha-beta)=(sin^2 alpha-sin^2 beta)/(cos^2 alpha-sin^2 beta)

A tower subtends an angle alpha at a point A in the plane of its base and the angle of depression of the foot of the tower at a point b metres just above A is beta . Prove that the height of the tower is btanalphacotbeta .

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 (htanalpha)/(tanbeta - tanalpha)