Questions
A tower, of x meters high, has a flagstaff at its top. The tower and the flagstaff subtend equal angles at a point distant ‘y’ meters from the foot of the tower. Then the length of the flagstaff in meters is
detailed solution
Correct option is B
We have tanθ=xy, tan2θ=h+xy, ⇒h+x=ytan2θ=y×2tanθ1−tan2θ=y2x/y1−x2/y2=2xy2y2−x2⇒h=2xy2y2−x2−x=2xy2−xy2+x3y2−x2=xy2+x2y2−x2Talk to our academic expert!
Similar Questions
The angle of elevation of top of an unfinished tower at a point distance 120m from its base is 450. How much height must the tower be raise so that angle of elevation of top at the same point to be 600.
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