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A circus artist is climbing a 30 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. If the angle made by the rope with the ground level is 45°, then the height of the pole is
  • a)
    20m
  • b)
    10√2m
  • c)
    15√2m
  • d)
    20√2m
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A circus artist is climbing a 30 m long rope, which is tightly stretch...
The height of the pole is 15√2 m.
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Most Upvoted Answer
A circus artist is climbing a 30 m long rope, which is tightly stretch...
Length of rope or hypotenuse h=30m
the angle made by rope=45degree
height of pole or perpendicular p=?
sin.. =p/h
sin45=p/30
1/√2=p/30
√2p=30
p=30/√2 by rationalization
p=30/√2×√2/√2
p=30√2/2
p=15√2
so height of pole is15√2m.
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Community Answer
A circus artist is climbing a 30 m long rope, which is tightly stretch...
Degrees, how high is the pole?

We can use trigonometry to solve this problem. Let's call the height of the pole "h". Then, we can use the tangent function:

tan(45 degrees) = h/30

tan(45 degrees) is equal to 1, so we can simplify:

1 = h/30

Multiplying both sides by 30, we get:

h = 30

Therefore, the pole is 30 meters high.
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A circus artist is climbing a 30 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. If the angle made by the rope with the ground level is 45°, then the height of the pole isa)20mb)10√2mc)15√2md)20√2mCorrect answer is option 'C'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A circus artist is climbing a 30 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. If the angle made by the rope with the ground level is 45°, then the height of the pole isa)20mb)10√2mc)15√2md)20√2mCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circus artist is climbing a 30 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. If the angle made by the rope with the ground level is 45°, then the height of the pole isa)20mb)10√2mc)15√2md)20√2mCorrect answer is option 'C'. Can you explain this answer?.
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