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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 value of angle y?
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 value of angle y?
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 and a wire of 10 m length. The electricians need a staircase that reaches point P on the pole, making an angle of 60° with line AC. We need to find the value of angle y.
Visual Representation
To visualize the problem, we can consider the following points:
- **Pole PC**: Vertical pole where the top point is P.
- **Wire**: A length of 10 m extending from point A on the ground to point P on the pole.
- **Angle with Ground**: The angle formed between the wire (AP) and the horizontal line (AC) is 60°.
Applying Trigonometry
Using the properties of right triangles, we can calculate the height of the pole (h) at point P:
- **Height (h)**:
- h = AP * sin(60°)
- AP = 10 m (length of the wire)
- sin(60°) = √3/2
Thus,
- h = 10 * (√3/2) = 5√3 m
Now, we can find angle y using the cosine function.
Finding Angle y
In triangle APB, where B is the point on the ground directly beneath P:
- **Adjacent Side (AB)**:
- AB = AP * cos(60°) = 10 * (1/2) = 5 m
Now, we find angle y using the tangent function:
- **Tangent Function**:
- tan(y) = Opposite/Adjacent = h/AB = (5√3)/5
- tan(y) = √3
From the property of triangles, we know:
- **Angle y**:
- y = 60°
Conclusion
Thus, the value of angle y is 60°. This completes the calculation and understanding of the problem in the context of the electricians' needs.
In the village of Surya, we have a pole PC and a wire of 10 m length. The electricians need a staircase that reaches point P on the pole, making an angle of 60° with line AC. We need to find the value of angle y.
Visual Representation
To visualize the problem, we can consider the following points:
- **Pole PC**: Vertical pole where the top point is P.
- **Wire**: A length of 10 m extending from point A on the ground to point P on the pole.
- **Angle with Ground**: The angle formed between the wire (AP) and the horizontal line (AC) is 60°.
Applying Trigonometry
Using the properties of right triangles, we can calculate the height of the pole (h) at point P:
- **Height (h)**:
- h = AP * sin(60°)
- AP = 10 m (length of the wire)
- sin(60°) = √3/2
Thus,
- h = 10 * (√3/2) = 5√3 m
Now, we can find angle y using the cosine function.
Finding Angle y
In triangle APB, where B is the point on the ground directly beneath P:
- **Adjacent Side (AB)**:
- AB = AP * cos(60°) = 10 * (1/2) = 5 m
Now, we find angle y using the tangent function:
- **Tangent Function**:
- tan(y) = Opposite/Adjacent = h/AB = (5√3)/5
- tan(y) = √3
From the property of triangles, we know:
- **Angle y**:
- y = 60°
Conclusion
Thus, the value of angle y is 60°. This completes the calculation and understanding of the problem in the context of the electricians' needs.
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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 value of angle y?
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 value of angle y? 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 value of angle y? 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 value of angle y?.
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 value of angle y? 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 value of angle y? 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 value of angle y?.
Solutions 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 value of angle y? in English & in Hindi are available as part of our courses for UPSC.
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