A ladder rests against a wall so that its top touches the roof of the house. If the ladder makes an angle of (60^ ^ ) with the horizontal and height of the house be (6 3 ) meters, then the length of the ladder in meters

Correct answer: B. 12 Length of ladder (= 6 3 60^ ^ = 12 ~m )

BITSAT 2011

Exam: BITSAT
Year: 2011
Subject: Mathematics
Chapter: Heights and Distances

BITSAT 2011 · Mathematics · Heights and Distances

A ladder rests against a wall so that its top touches the roof of...

A ladder rests against a wall so that its top touches the roof of the house. If the ladder makes an angle of (60^{{}^{\circ}}) with the horizontal and height of the house be (6

\sqrt{3}

) meters, then the length of the ladder in meters is

Options

A(12 $\sqrt{3}$ )
B12
C(12 / $\sqrt{3}$ )
DNone of these

Correct answer

B. 12

Step-by-step solution

Length of ladder (=

\frac{6 \sqrt{3}}{\sin 60^{{}^{\circ}}}=

\mathrm{~m}

)

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