Heights and Distances Practice Test 1

Question : 27 of 40

Marks: +1, -0

A building is 50 m high. The angles ofelevation of the top of a building from twopoint on the level ground on its opposite sidesare 30° and 45°, find the distance between thetwo point is nearest metres is:

$50(1 + √3) m$
$50(√3 -1) m$
$50(1 - √3) m$
All of the above
None of these

Validate

Solution:

In ΔACD,

50/x=\tan 45°=1

⇒x=50

......(1)
In ΔABC,

50/y=\tan30°=1/√3

⇒y=50√3

......(2)
Adding equations (1) and (2)

x+y=50+50√3=50(1+√3)m

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