#### 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 1: Analyse the given question. Draw a figure from the given information.

Given that:

The boat cross a river

The angle between the boat and bank = 60\degree

From the figure:

AB is a bank of the river

Boat starts at A.

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 BC = ?

Step 2: Select the appropriate trigonometric ratio to find the width of the river.

We need to find the width of the river (opposite side)

So, take \sin\ A=\frac{opposite\ side}{hypotenuse}

\sin60\degree=\frac{BC}{AC}=\frac{BC}{600}

\frac{\sqrt{3}}{2}=\frac{BC}{600}. (Since \sin60\degree=\frac{\sqrt{3}}{2})

BC=\frac{600\sqrt{3}}{2})

BC = 300\sqrt{3}

Hence, the width of the river BC = 300\sqrt{3}

Pendyala Varsha

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Thank u ðŸ˜ŠðŸ˜Š

Anonymous

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Where is the location of the boat and what is step 1?

Mahesh Godavarti

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The location of the boat is A. And Step 1 is to identify all the given information.

Mahesh Godavarti

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The answer has been edited to correctly identify Step 1.