Heights and Distances Practice Test 1

Question : 26 of 40

Marks: +1, -0

The angle of depression of vertex of a regularhexagon lying in a horizontal plane, from thetop of tower of height 75 m located at thecentre of the regular hexagon is 60. What isthe length of each side of the hexagon?

$50 √3 m$
75 m
$25 √3 m$
25 m
None of these

Validate

Solution:

Angle of the triangle in a hexagon = 60°
So, θ = 60°

Angle of elevation = Angle of depression

\tan 60° =75/x⇒x=75/√3=25√3

OF = OE = OA = OD = OC = OB = OA = side of hexagon
∴ length of hexagon

=25√3m

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