A round balloon of radius subtends an angle at the eye of the observer, while the angle of elevation of its center is . The height of the center of the balloon is
Explanation for the correct option:
Step 1 : Interpretation from given information
Let be the center of the balloon and be the eye of the observer
And is the angle subtended by the balloon
Therefore,
and
Step 2 : Find distance
In ,
Step 3 : Find height of the centre of a balloon
In ,
Therefore,
Thus, the height of the balloon is
Hence, Option ‘D’ is Correct.