Some Applicatio...

A vertical tower OP stands at the centre O of a square ABCD. Let h and b denote the length OP and AB respectively. Suppose $$\angle APB = 60^{0}$$, then the relationship between h and b can be expressed as:

Two villages are 2 kms apart. If the angles of depression of these villages when observed from a plane are found to be $$45^0$$ and $$60^0$$ respectively, then height of the plane is

The angle of elevation of a cloud from a point $$h$$ meters above the surface of a lake is $$300$$ and the angle of depression of its reflection is $$600$$. Then the height of the cloud above the surface of the lake is

The angle of elevation of the top of a tower at a distance of $$\dfrac{50\sqrt{3}}{3}$$metres from the foot is $$60^0$$.
Find the height of the tower.

The shadow of a stick of height 1 meter, when the angle of elevation of the Sun is $$60^{\circ}$$, will be

A man looks from the top of a vertical tower 30 metres high at a marked point upon the horizontal plane on which the tower stands. The angle of depression of this point is $$30^0.$$ The distance of the marked point from the foot of the tower is

The angle of elevation of the top of a tower as observed from a point on the horizontal ground is x. If we move a distance d towards the foot of the tower, the angle of elevation increases to y, then the height of the tower is

On the level ground, the angle of elevation of the top of a tower is $$30^{\circ},$$ on moving 20 metres nearer to it the angle of elevation is $$60^{\circ}$$ The height of the tower is

The angles of elevation of the top of a tower at the top and the foot of a pole of height $$10$$ m are $$30$$ $$^{\circ}$$ and $$60$$ $$^{\circ}$$ respectively. The height of the tower is

A light-house $$100$$ m high observe that two ships are approaching it from West and South respectively. If the angles of depression of the two ships are $$30$$ $$^{\circ}$$ and $$45$$ $$^{\circ}$$ respectively, then the distance between the two ships is -