Some Applicatio...

The angles of elevation of the top of a tower from two points at a distance, $$x$$ and $$y$$ meters from the base and in the same straight line with it are complementary. Find the height of the tower.

Two villages are 2 km apart. If the angles of depression of these villages when observed from a plane are around to be $$ \displaystyle 45^{\circ}$$ and $$60^{\circ} $$ respectively , then height of the plane in km is: 
(Plane is between two villages)

On the same side of a tower two objects are located. Observed from the top of the tower their angles of depression are $$\displaystyle 45^{0}$$ and $$\displaystyle 60^{0}$$. If the height of the tower is $$150\ m$$, the distance between the objects is

A man standing at a point C is watching the top of a tower which makes an angle of elevation of $$\displaystyle 30^{0}$$ with the man's eye. The man walks some distance towards the tower to watch its top, the angle of elevation becomes $$\displaystyle 60^{0}$$. What is the distance between the base of the tower and the point C?

$$AB$$ is a straight road leading to $$C$$, the foot of a tower. $$A$$ is at a distance $$125\text{ m}$$ from $$B$$ and $$B$$ at $$75\text{ m}$$ meters from $$C$$. If the angle of elevation of the tower at $$B$$ be double the angle of elevation at $$A$$, then the find the value of $$\cos2\alpha,$$

The angles of elevation of a tower from a  point on the ground is $$ \displaystyle 30^{\circ} $$ . At a point on the horizontal line passing through the foot of the tower and $$100$$ meters closer to it than the previous point, if the angle of elevation is found to be $$ \displaystyle 60^{\circ} $$ , then height  of the tower is 

From a point $$p$$ on a level ground the angle of elevation of the top of a tower is $$\displaystyle 30^{0}$$ If the tower is $$100\ m$$ high the distance of point $$p$$ from the foot of the tower is

The angle of elevation of the sun when the length of the shadow of a tree is $$\displaystyle \sqrt{3}$$ times the height of the tree is:

Two ships are sailing in the sea on the two sides  of a lighthouse The angles of elevation of the top of the lighthouse as observed from the two 
ships are $$\displaystyle 30^{0}$$ and $$\displaystyle 45^{0}$$ respectively If the lighthouse is $$100$$ m high the distance between the two ships is

An observer 1.6m tall is $$\displaystyle 20\sqrt{3}$$m away from a tower The angle of elevation from his eye to the top of the tower is $$\displaystyle 30^{0}$$ The height of the tower is