Some Applicatio...

An aeroplane at an altitude of $$200$$ m observes the angle of depression of two opposite points on the two banks of a river to be 45$$^o$$ and 60$$^o$$. Then, the width of the river is _____.

The shadow of a vertical tower on the level ground increases by $$10$$ m when the altitude of the sun changes from 45$$^o$$ to 30$$^o$$. The height of the tower is _____ .

The string of a kite is $$100$$ m long and it makes an angle of 60$$^o$$ with the horizontal. If there is no slack in the string, the height of the kite above the ground is _____ 

An observer standing $$50$$ m away from a building notices that the angles of elevation of the top and bottom of a flag post on the building are 60$$^o$$ and 45$$^o$$ respectively. The height of the flag post is _____.

From the top of a hill the angle of depression of two consecutive mile stones on east are $$30^o$$ and $$45^o$$. The height of the hill is _____ km.

On the same side of the tower 300 m high, The angles of depression of two objects are $$45^o$$ and $$60^o$$ respectively. The distance between two objects is _____ .(take $$\sqrt3$$ = 1.73) 

A pole stands vertically on the ground if the angle of elevation at the top of the pole from a point 60 m away from the pole is 30$$^o$$, then the height of the pole is: 

If the length of the shadow of a pole on ground is twice the length of the pole, then the angle of elevation of the sun is _____ 

A ladder leans a wall making an angle of 60$$^o$$ with the ground. The foot a the ladder is 2 m away from the wall. The length of the ladder is:

An aeroplane is at a vertical height of 675 m from the bank of a river. The angle of elevation of the aeroplane from a point just on the opposite bank of that river is found to be 60$$^o$$. The width of the river is _____ m.