A bridge across a river makes an angle 45degree with the river bank. If the length of the bridge across the river is 150m. Find the width of the river.
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SOLUTION ☺️
Let AB be the width of the river such that AB = x
Now in right Angled ∆OAB
=) sin 45° = x/150
=)x= 150 sin 45°
=) 150× 1/√2
=) 150√2/2
=) 75√2
=) 75× 1.41
=) 105.75 metres
Which is required width of the river.
hope it helps ✔️
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