Questions
A flagstaff stands vertically on a pillar, the height of the flagstaff being double the height of the pillar. A man on the ground at a distance finds that both the pillar and the flagstaff subtend equal angles at his eyes. The ratio of the height of the pillar and the distance of the man from the pillar, is
detailed solution
Correct option is C
from the triangles tanθ=hx and tan2θ=2h+hx=3hxLet hx=a, then tanθ=a, tan2θ=3a ∴3a=tan2θ=2tanθ1−tan2θ=2a1−a23-3a2=2⇒a=13∴h:x=a:1=1:3Talk 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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