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For the following questions answer them individually
A guard observes an enemy boat, from an observation tower at a height of 180 metre above sea level, to be at an angle of depression of $$60^\circ$$. The distance of the boat from the foot of the observation tower is
If $$\tan 22 \frac{1}{2} = x$$, then the value of $$\cos 67 \frac{1^\circ}{2}$$ is
If $$\cos x = \sin y$$ and $$\cot (x - 40^\circ) = \tan (50^\circ - y)$$, then the values of x and y are
If $$f(x) = \cos^2 x + \sec^2 x$$, then the minimum value of $$f(x)$$ is
Radius of the incircle of an equilateral $$\triangle ABC$$ of sides $$\sqrt{3}$$ units is
If $$\sqrt{15 - x\sqrt{14}} = \sqrt{8} - \sqrt{7}$$; then the value of x is
The next term of the series 325, 259, 204, 160, 127, 105,...... is
The simplified form of $$\frac{17 + 12 \sqrt{2}}{3 + 2 \sqrt{2}}$$ is
The least number which must be subtracted from 2361 to make it a perfect square is
A and B can together do a piece of workin 6 days. If B can do the work by himself in 8 days, how many days will A take to do the work independently?
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