An object is 6m away from a mast. The angle of depression of the object from the top of the mast is 50^o. Find, correct to 2 decimal places the height of the mast.

If $\sin x=\tfrac{5}{13}$ and ${{0}^{\circ }}\le x\le {{90}^{\circ }}$ find the value of $(\cos x-\tan x)$