SSC CPO SI and ASI 2014 Paper

Question : 144 of 200

Marks: +1, -0

From the peak of a hill which is 300 m high, the angles of depression of two sides of a bridge lying at the base of the hill are 45° and 30° (both ends of the bridge are on the same side of the hill). The length of the bridge is

$3000 (√ 3 –1 )$ m
$3000 (√ 3 +1 )$ m
$3000 √ 3$ m
$300 / √ 3$ m

Validate

Solution:

(1)

From ΔPQR,

\tan 45°= { {PQ}}/{ {QR}}= {300}/{ {QR}} ⇒{QR}=300 {m}

From ΔPQS,

\tan 30°= { {PQ}}/{Q {S}}⇒{1}/{√{3}}= {300}/{300+\ {RS}}

So,

R S=300(√{3}-1) m

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