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A fire at a building A is reported on telephone to two fire station F1 and F2, 10 km apart from each other on a straight road.F1 observed that fire is at an angle 60 degree to the road and F2 observed that it is at an angle 45 degree from it. According to the decision by higher authority station F1 sends its teem. 1. Why was the team of station F1 team sent? 2. How much distance will the station F1 team have to travel?
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A fire at a building A is reported on telephone to two fire station F1...
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A fire at a building A is reported on telephone to two fire station F1...
Reason for sending the team of station F1:
- The team of station F1 was sent because the fire was observed at a 60-degree angle to the road from their location. This means that the fire is closer to station F1 than station F2, as it is more directly in their line of sight.

Distance traveled by station F1 team:
- To calculate the distance traveled by the station F1 team, we can use trigonometry. Let x be the distance from station F1 to the fire, and y be the distance from station F2 to the fire.
- From station F1, the angle to the fire is 60 degrees, and from station F2, the angle is 45 degrees.
- We can set up two equations based on the given information:
- x = 10 km * tan(60 degrees)
- y = 10 km * tan(45 degrees)
- Solving these equations, we find that x is approximately 17.32 km and y is approximately 10 km.
- Therefore, the station F1 team will have to travel a distance of approximately 17.32 km to reach the building on fire.
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A fire at a building A is reported on telephone to two fire station F1 and F2, 10 km apart from each other on a straight road.F1 observed that fire is at an angle 60 degree to the road and F2 observed that it is at an angle 45 degree from it. According to the decision by higher authority station F1 sends its teem. 1. Why was the team of station F1 team sent? 2. How much distance will the station F1 team have to travel?
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A fire at a building A is reported on telephone to two fire station F1 and F2, 10 km apart from each other on a straight road.F1 observed that fire is at an angle 60 degree to the road and F2 observed that it is at an angle 45 degree from it. According to the decision by higher authority station F1 sends its teem. 1. Why was the team of station F1 team sent? 2. How much distance will the station F1 team have to travel? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A fire at a building A is reported on telephone to two fire station F1 and F2, 10 km apart from each other on a straight road.F1 observed that fire is at an angle 60 degree to the road and F2 observed that it is at an angle 45 degree from it. According to the decision by higher authority station F1 sends its teem. 1. Why was the team of station F1 team sent? 2. How much distance will the station F1 team have to travel? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A fire at a building A is reported on telephone to two fire station F1 and F2, 10 km apart from each other on a straight road.F1 observed that fire is at an angle 60 degree to the road and F2 observed that it is at an angle 45 degree from it. According to the decision by higher authority station F1 sends its teem. 1. Why was the team of station F1 team sent? 2. How much distance will the station F1 team have to travel?.
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