Some Applicatio...

Two poles of height 18 metres and 7 metres are erected on the ground. A wire of length $$22$$ metres tied to the top of the poles. Find the angle made by the wire with the horizontal.(in degree)

Two flagstaffs stand on a horizontal plane. A and B are two points on the line joining their feet and between them. The angles of elevation of the tops of the flagstaff as seen from A are 30$$^o$$ and 60$$^o$$ and as seen from B are 60$$^o$$ and 45$$^o$$. If AB is 30 m, the distance between the flagstaffs in meters is:

A kite is attached to a $$100\ m$$ long string. Find the greatest height reached by the kite when its string makes an angle of $$\displaystyle 60^{\circ}$$ with the level ground.

A ladder is placed against a vertical tower. If the ladder makes an angle of $$\displaystyle 30^{\circ}$$ with the ground and reaches up to a height of $$15\ m$$ of the tower; find length of the ladder in cm.

An observer $$1.5m$$ tall is $$29.5m$$ away from a chimney. The angle of elevation of the top of the chimney from her eyes is $${45}^{o}$$. The height of the chimney is:

A flagstaff $$6$$ metres high throws a shadow $$2\sqrt 3$$ metres long on the ground. The angle of elevation is

An observer finds that the angular elevation of a tower is $$A$$. On advancing $$3$$ m towards the tower the elevation is $${ 45 }^{ \circ }$$ and on advancing $$2$$ m nearer, the elevation is $$({ 90 }^{ \circ }-A)$$. The height of the tower is

An observer $$\sqrt 3m $$ tall is $$3m$$ away from the pole $$2\sqrt 3m $$ high. The angle of elevation of the top from the pole is:

The top of a broken tree touches the ground at a distance of 15 m from its base. If the tree is broken at aheight of 8 m from the ground, then the actualheight of the tree is

An aeroplane is observed at the same time by two anti-aircraft batteries distant $$6000m$$ apart to be at elevations of $${30}^{o}$$ and $${45}^{o}$$ respectively. Assuming that the aeroplane is travelling directly towards the two batteries, find its height and its horizontal distance from the nearer battery.