In a triangle $$ABC$$, angle $$A$$ is greater than angle $$B$$. If the measures of angles $$A$$ and $$B$$ satify the equation $$3{\mathop{\rm sinx}\nolimits} - 4si{n^3}x - k = 0,$$ $$0 < k < 1$$, then the measure of angle $$C$$ is
A
$${\pi \over 3}$$
B
$${\pi \over 2}$$
C
$${2\pi \over 3}$$
D
$${5\pi \over 6}$$
2
IIT-JEE 1983
MCQ (Single Correct Answer)
From the top of a light-house 60 metres high with its base at the sea-level, the angle of depression of a boat is $${15^ \circ }$$. The distance of the boat from the foot of the light house is