#### A boat has to cross a river. It crosses the river by making an angle of 60 \degree with the bank of the river due to the stream of the river and

travels a distance of 600m to reach the another side of the river. What is the width of the river?

Anonymous

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travels a distance of 600m to reach the another side of the river. What is the width of the river?

Krishna

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Step 2: Analyse the given question. Draw a figure from the given information.

GIVEN: Angle between the bank of the river and way of the boat \angle CAB = 60\degree.

Traveled distance AC = 600 m

Determine the width of the river AB = ?

Step 2: Select the appropriate trigonometric ratio.

EXAMPLE: We need to find the width of the river(adjacent side)

So, take \cos\ A=\frac{adjacent}{hypotenuse}

\cos60\degree=\frac{AB}{AC}=\frac{AB}{600}

\frac{1}{2}=\frac{AB}{600} (Since \cos 60\degree = \frac{1}{2})

AB=\frac{600}{2})

AB = 300

The width of the river = 300 m

Pendyala Varsha

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Thank u ðŸ˜ŠðŸ˜Š