A pole is standing erect on the ground which is horizontal.The tip of the pole is tied tight with a rope of length √12m to a point on the ground.If the rope is making 30° with the horizontal,then the height of the pole is 

An aeroplane flying at a height of 3000m passes vertivally above another aeroplane at an instant when angles of elevation of two planes from some point on the ground is 60° and 45° respectively.Then the vertical distance of the two planes is 

If a and b are positive,then the relation sinθ=(2a+3b)/3b is

Consider the following statements

1.sin 66° is less than cos 66°

2.sin 26° is less than cos 26°

Which of the above statements are correct?

If θ is an acute angle and sinθcosθ=2cos³θ-1.5cosθ,then  what is sinθ equal to 

If tan(x+40)°tan(x+20)°tan(3x)°tan(70-x)°tan(50-x)°=1,then the value of x is equal to