" that the height of the cloud is "(h(tan beta+tan alpha))/((tan beta-tan alpha))" metres "

If the angle of elevation of a cloud from a point h metre above the lake is alpha and the angle of depression of its reflection in the lake is beta , prove that the height of the cloud above the lake is (h(tan beta+tan alpha))/(tan beta- tan alpha)

If the angle of elevation of a cloud from a point h metres above a lake is alpha and the angle of depression of its reflection in the take is beta prove that the height of the cloud is h(tan beta+tan alpha)quad tan beta-tan alpha

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.

A bridge across a valley is h metres long. There is a temple in the valley directly below the bridge. The angles of depression of the top of the temple from the two ends of the bridge are alpha and beta . Prove that the height of the bridge above the top of the temple is (h (tan alpha tan beta))/(tan alpha + tan beta) metres.

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

A jet plane is at a vertical height of h. The angles of depression of two tanks on the ground in the same line with the plane are alpha and beta (alpha gt beta) . Prove that the distance between the tanks is ( h (tan alpha - tan beta))/(tan alpha tan beta)

If alpha+beta=(pi)/(2) and beta+gamma=alpha then tan alpha equals (A) 2(tan beta+tan gamma)(B)tan beta+tan alpha (C) tan beta+2tan gamma(D)2tan beta+tan gamma

If alpha+beta=(pi)/(2) and beta+gamma=alpha then tan alpha equals (A) 2(tan beta+tan gamma)(B)tan beta+tan alpha (C) tan beta+2tan gamma(D)2tan beta+tan gamma

(1+tan alpha tan beta)^2 + (tan alpha - tan beta)^2 =