Some Applicatio...

The angles of depression of the foot and the top of a pole at the top of a tower of height $$100 $$ metres are $$45^{ }$$ and $$30^{0}$$ respectively. The height of the pole is

 A person walking along a straight road towards a hill observes at two points distance  $$\sqrt{3}$$ km, the angle of elevation of the hill to be $$30^{0}$$ and $$60^{0}$$. The height of the hill is   

$$A$$ man standing on a level plane observes the elevation of the top of a pole to be $$\alpha$$. He then walks a distance equal to double the height of the pole and then finds that the elevation is now $$2\alpha$$. Then $$\alpha=$$

Two pillars of equal height stand at a distance of $$100$$ metres. $$A$$t a point between them the elevation of their tops are found to be $$30^{o }$$ and $$60^{0}$$ Then height of the each pillar in metres is

$$A$$ flag staff stands upon the top of a building. $$A$$t a distance of 40 $$m$$. the angles of elevation of the tops of the flag staff and building are $$60^{ 0}$$ and $$30^{0}$$ then the height of the flag staff in metres is

A tower subtends an angle $$\alpha$$ at a point$$A$$ on the same level as the foot of the tower $$B$$ is a point vertically above $$A$$ and $$AB=h$$ metres. The angle of depression of the foot of the tower from $$B$$ is $$\beta$$. The height of the tower is

The horizontal distance between two towers is $$30$$ meters. From the foot of the first tower the angle of elevation of the top of the second tower is $$60^{o}$$. From the top of the second tower the angle of depression of the top of the first is $$30^{o}$$. The height of the small tower is:

 C is the mid point of the line joining two pionts A,B on the ground. A tower at C slightly leans towards B. If the angles of elevation of the top of the tower from A and B are $$30^{0},60^{0}$$ respectvely, the angle made by the tower with the horizontal is

A pole of height $$h$$ stands at one corner of a park in the shape of an equilateral triangle. If $$\alpha$$ is the angle which the pole subtends at the midpoint of the opposite side, the length of each side of the park is:

Straight pole(AB) subtends a right angle at a point $$D$$ of another pole at a distance of $$30$$ meters from $$A$$, the top of $$A$$ being $$60^{0}$$ above the horizontal line joining the point $$B$$ to the pole $$A$$. The length of the pole $$A$$ is, in meters