From the top of a tower, the angles of depression of two objects on the same side of the tower are found to be `alpha` and `beta(alpha gt beta)`.If the distance between the objects is p metres, show that the height h of the tower is given by `h=(p tan alpha tan beta)/(tan alpha - tan beta)` metres.

From the top of a tower h m high, angles of depression of two objects, which are in line with the foot of the tower are alpha and beta(betagtalpha) . Find the distance between the two objects.

If 2tan alpha=3tan beta then tan(alpha-beta)=

From an aeroplane vertically above a straight horizontal road,the angles of depression of two consecutive mile stones on opposite sides of the aeroplane are observed to be alpha and beta . Show that the height in miles of aeroplane above the road is give by (tan alpha tan beta)/(tan alpha+tan beta)

Prove that (tan alpha+tan beta)/(cot alpha+cot beta)=tan alpha tan beta

From the top of a light house,the angles of depression of two ships on the opposite sides of its are observed to be aand beta.If the height of the light house be h metres and the line joining the ships passes through the foot of the light house,show that the distance between the ship is (h(tan alpha+tan beta)/(tan alpha tan beta)

A window of a house is h metres above the ground. From the window, the angles of elevation and depression of the top and bottom of another house situated on the opposite side of the lane are found to be alpha and beta respectively. Prove that the height of the house is h(1 + tan alpha cdot tan beta) metres.

If alpha+beta=pi/4 then (1+tan alpha)(1+tan beta)=

At a point on a level plane a vertical tower subtends an angle alpha and a pole of height a meters at the top of the tower subtends an angle beta . Show that the height of the tower is a sin alpha " cosec "beta cos(alpha + beta) .