Heights and Distances Practice Test 1

Question : 11 of 40

Marks: +1, -0

On a horizontal plane, there is a vertical tower with a flag pole on the top of the tower. At a point 10 m away from the foot of the tower, the angle of elevation of the top and bottom of the flag pole are 60° and 45° respectively. Find the height of the tower and the flag pole mounted on it.

$10, 10(√3 - 1)$
$10, 20(√3 - 1)$
$10, 10(√3 + 1)$
All of the above
None of these

Validate

Solution:

In ΔACD,

{h+y}/10=\tan60°=√3

⇒h+ y=10√3

⇒y=10√3-h

......(1)
In ΔBCD,

y/10=\tan45°=1

y=10

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

10√3-h=10

h=10(√3-1)

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