Heights and Distances Practice Test 2

Question : 6 of 24

Marks: +1, -0

A vertical tower stands on a horizontal plane and is surmounted by a flag staff of height 6 m. At a point on the plane, the angle of elevation of the top of the flag staff is 60° and that of the bottom of the flag staff is 45°. Find the height of the tower.

$6/{√3-1}m$
$6/{√3-1}m$
${√3+1}/6m$
All of the above
None of these

Validate

Solution:

In ΔACD,

{6+h}/x=√3⇒x={6+h}/√3

......(1)
In ΔBCD,

h/x=\tan45°=1⇒h=x

......(2)
From equations (1) and (2)

{6+h}/√3=h

h=6/{√3-1}m

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