For the following questions answer them individually
A car is travelling on a straight road leading to a tower. From a point at a distance of 500 m from the tower, as seen by the driver, the angle of elevation of the top of the tower is 30°. After driving towards the tower for 10 seconds, the angle of elevation of the top of the tower as seen by the driver is found to be 60°. Then the speed of the car is
The angle of depression of a point from the top of a 200 m high tower is 45°. The distance of the point from the tower is
If A and B are positive acute angles such that sin (A — B) =1/2 and cos (A+ B) = 1/2 , then A and B are given by
If $$7 sin^{2} + 3 cos^{2} = 4$$, and θ is a positive acute angle, then tan θ is equal to
A wheel makes 360 revolutions in a minute. The number of radians through which it turns in one second is