A lane runs at right angles out of a road a metres wide. Find how many metres wide the lane should beif it is just possible to carry a pole b metres long `(b> a)` from the road into the lane keeping it horizontal.

A can run 45 m while B runs 50 m. In a km race B beats Aby how many metres?

A point source of light along a straight road is at a height of 'a' metres. A boy 'b' metres in height is walking along the road. How fast is his shadow increasing if he is walking away from the light at the rate of 'c' metres per minute ?

A straight pole A subtends a right angle at a point B of another pole at a distance of 30 metres from A, the top of A being 60^(@) above the horizontal line joining the point B to the pole A.The length of the pole A is,in metres.

How many bricks 20 cm xx 10 cm will be required to have the floor of a hall 16 metres long and 10 metres wide ?

Two poles are placed at P and Q on either side of a road such that the line joining P and Q is perpendicular to the length of the road. A person moves x metre away from P parallel to the road and places another pole at R. Then the person moves further x metre in the same direction and turns and moves a distance y metre away from the road perpendicularly, where he finds himself, Q and R on the same line. The distance between P and Q (i.e., the width of the road) in metre is

A pole has to be erected at a point on the boundary of a circular park of diameter 13 metres in such a way that the differences of its distances from two diametrically opposite fixed gates A and B on the boundary is 7 metres.Is it possible to do so? If yes,at what distances from the two gates should the pole be erected?