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A bridge across a river makes an angles ...

A bridge across a river makes an angles of `45^0` with the river bank as shown in Figure. If the lengthof the bridge across the river is 150m, what is the width of the river?

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To find the width of the river given that the bridge makes an angle of \(45^\circ\) with the river bank and has a length of 150 meters, we can use trigonometric principles. ### Step-by-Step Solution: 1. **Understanding the Problem**: - We have a right triangle formed by the bridge, the width of the river, and the vertical height from the end of the bridge to the river bank. - The angle between the bridge and the river bank is \(45^\circ\). ...
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RD SHARMA-SOME APPLICATIONS OF TRIGONOMETRY-All Questions
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  2. A person, standing on the bank of a river, observes that the angle sub...

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  3. A bridge across a river makes an angles of 45^0 with the river bank as...

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  4. From the top of a light house, the angles of depression of two ships o...

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  5. If the angle of elevation of a cloud from a point h metres above a lak...

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  6. From the top of a hill, the angles of depression of two consecutive ...

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  7. The shadow of a vertical tower on level ground increases by 10 metres,...

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  8. A tower is 100sqrt(3) metres high. Find the angle of elevation if i...

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  9. The angle of elevation of the top of a tower from a point on the gro...

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  10. A kite is flying at a height of 60m above the ground. The string at...

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  11. The string of a kite is 100 metres long and it makes an angle of 60...

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  13. An observer 1.5 m tall is 28.5 m away from a chimney. The angle of ...

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  14. An electrician has to repair an electric fault on a pole of height ...

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  15. From a point on the ground 40m away from the foot of a tower, the a...

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  16. At a point on level ground, the angle of elevation of a vertical to...

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  17. Determine the height of a mountain if the elevation of its top at a...

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  18. An aeroplane at an altitude of 1200 metres finds that two ships are ...

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  19. Two pillars of equal height and on either side of a road, which is ...

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  20. As observed from the top of a light house, 100m above sea level, th...

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