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As shown In the village of Surya there was a big pole PC. This pole was tied with a strong wire of 10 m length. Once
there was a big spark on this pole, thus wires got damaged very badly. Any small fault was usually repaired with the
help of a rope which normal board electricians were carrying on bicycles.
This time electricians need a staircase of 10 m so that it can reach at point P on the pole and this should make 60o
with line AC. find angle y using angles formula class 9?
there was a big spark on this pole, thus wires got damaged very badly. Any small fault was usually repaired with the
help of a rope which normal board electricians were carrying on bicycles.
This time electricians need a staircase of 10 m so that it can reach at point P on the pole and this should make 60o
with line AC. find angle y using angles formula class 9?
Most Upvoted Answer
As shown In the village of Surya there was a big pole PC. This pole wa...
Understanding the Problem
In the village of Surya, we have a pole PC, with a 10 m wire tied to it. The electricians need a staircase that will reach point P on the pole, making an angle of 60° with line AC.
Visualizing the Scenario
- The pole (PC) is vertical.
- The wire (length 10 m) creates a triangle with the ground (line AC).
- The staircase forms another triangle with the pole.
Using Trigonometric Ratios
To find angle y, we can apply trigonometric ratios. In this scenario, we can use the sine function, which is defined as:
- **sin(θ) = Opposite / Hypotenuse**
Here, the angle θ is 60°.
Calculating the Length of AC
- Hypotenuse (PC) = 10 m
- Thus, AC = PC * cos(60°)
Using cos(60°) = 0.5:
- AC = 10 m * 0.5 = 5 m
Finding the Height (PC)
- Now, using sin(60°):
- **sin(60°) = Opposite (PC) / Hypotenuse (10 m)**
Replacing sin(60°) with √3/2:
- **√3/2 = PC / 10 m**
So,
- **PC = 10 m * (√3/2) = 5√3 m**
Finding Angle y
In triangle ACP, we know:
- AC = 5 m
- PC = 5√3 m
Using the tangent function:
- **tan(y) = Opposite / Adjacent = PC / AC**
Substituting the values:
- **tan(y) = (5√3) / 5 = √3**
Thus,
- **y = 60°**
Conclusion
The required angle y is 60°, confirming that the staircase will reach point P making the necessary angle with line AC.
In the village of Surya, we have a pole PC, with a 10 m wire tied to it. The electricians need a staircase that will reach point P on the pole, making an angle of 60° with line AC.
Visualizing the Scenario
- The pole (PC) is vertical.
- The wire (length 10 m) creates a triangle with the ground (line AC).
- The staircase forms another triangle with the pole.
Using Trigonometric Ratios
To find angle y, we can apply trigonometric ratios. In this scenario, we can use the sine function, which is defined as:
- **sin(θ) = Opposite / Hypotenuse**
Here, the angle θ is 60°.
Calculating the Length of AC
- Hypotenuse (PC) = 10 m
- Thus, AC = PC * cos(60°)
Using cos(60°) = 0.5:
- AC = 10 m * 0.5 = 5 m
Finding the Height (PC)
- Now, using sin(60°):
- **sin(60°) = Opposite (PC) / Hypotenuse (10 m)**
Replacing sin(60°) with √3/2:
- **√3/2 = PC / 10 m**
So,
- **PC = 10 m * (√3/2) = 5√3 m**
Finding Angle y
In triangle ACP, we know:
- AC = 5 m
- PC = 5√3 m
Using the tangent function:
- **tan(y) = Opposite / Adjacent = PC / AC**
Substituting the values:
- **tan(y) = (5√3) / 5 = √3**
Thus,
- **y = 60°**
Conclusion
The required angle y is 60°, confirming that the staircase will reach point P making the necessary angle with line AC.
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As shown In the village of Surya there was a big pole PC. This pole was tied with a strong wire of 10 m length. Once there was a big spark on this pole, thus wires got damaged very badly. Any small fault was usually repaired with the help of a rope which normal board electricians were carrying on bicycles. This time electricians need a staircase of 10 m so that it can reach at point P on the pole and this should make 60o with line AC. find angle y using angles formula class 9?
Question Description
As shown In the village of Surya there was a big pole PC. This pole was tied with a strong wire of 10 m length. Once there was a big spark on this pole, thus wires got damaged very badly. Any small fault was usually repaired with the help of a rope which normal board electricians were carrying on bicycles. This time electricians need a staircase of 10 m so that it can reach at point P on the pole and this should make 60o with line AC. find angle y using angles formula class 9? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about As shown In the village of Surya there was a big pole PC. This pole was tied with a strong wire of 10 m length. Once there was a big spark on this pole, thus wires got damaged very badly. Any small fault was usually repaired with the help of a rope which normal board electricians were carrying on bicycles. This time electricians need a staircase of 10 m so that it can reach at point P on the pole and this should make 60o with line AC. find angle y using angles formula class 9? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for As shown In the village of Surya there was a big pole PC. This pole was tied with a strong wire of 10 m length. Once there was a big spark on this pole, thus wires got damaged very badly. Any small fault was usually repaired with the help of a rope which normal board electricians were carrying on bicycles. This time electricians need a staircase of 10 m so that it can reach at point P on the pole and this should make 60o with line AC. find angle y using angles formula class 9?.
As shown In the village of Surya there was a big pole PC. This pole was tied with a strong wire of 10 m length. Once there was a big spark on this pole, thus wires got damaged very badly. Any small fault was usually repaired with the help of a rope which normal board electricians were carrying on bicycles. This time electricians need a staircase of 10 m so that it can reach at point P on the pole and this should make 60o with line AC. find angle y using angles formula class 9? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about As shown In the village of Surya there was a big pole PC. This pole was tied with a strong wire of 10 m length. Once there was a big spark on this pole, thus wires got damaged very badly. Any small fault was usually repaired with the help of a rope which normal board electricians were carrying on bicycles. This time electricians need a staircase of 10 m so that it can reach at point P on the pole and this should make 60o with line AC. find angle y using angles formula class 9? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for As shown In the village of Surya there was a big pole PC. This pole was tied with a strong wire of 10 m length. Once there was a big spark on this pole, thus wires got damaged very badly. Any small fault was usually repaired with the help of a rope which normal board electricians were carrying on bicycles. This time electricians need a staircase of 10 m so that it can reach at point P on the pole and this should make 60o with line AC. find angle y using angles formula class 9?.
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