Question

A bridge across a river makes an angle of 45 degree with the river bank. If the length of bridge across the river is 150 m ,what is the width of the river?

Answer 1

Answer:

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Answer 2

$\huge\colorbox{cyan}{\tt{Answer }}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{In \: ∆ ABC,}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{sin 45° = \frac{BC}{AC} }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{ \frac{1}{ \sqrt{2} } = \frac{BC}{150} \: \: \:─━⧼∵sin 45° = \frac{1}{ \sqrt{2} } }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: {\underline{\underline{\tt{\bold{\pink{∴BC = 75 \sqrt{2} \: m}}}}}}$

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