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The angle of elevation of the top of a ladder leaning against a wall measured from a distance of 7.3 meters from the foot of the ladder is 45°. Suppose that the vertical height of the top of the ladder is 17.3 metres. Then, the best approximation of the angle of inclination of the ladder with the wall is:
  • a)
    15°
  • b)
    30°
  • c)
    45°
  • d)
    60°
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The angle of elevation of the top of a ladder leaning against a wall m...
let BC = x m
DB = x + 7.3m
AB = DB
BC = 10m
let ∠BAC = θ

tanθ = BC/AB
= 10/17.3
= 0.578
θ = 30°
Free Test
Community Answer
The angle of elevation of the top of a ladder leaning against a wall m...
Let's call the height of the ladder "h" and the distance from the foot of the ladder to the wall "x".

We can use the tangent function to find the height of the ladder:

tan(angle of elevation) = opposite/adjacent
tan(45 degrees) = h/x

Since the angle of elevation is 45 degrees, and the distance from the foot of the ladder to the wall is given as 7.3 meters, we can substitute these values into the equation:

tan(45 degrees) = h/7.3

Using the fact that tan(45 degrees) = 1, we can simplify the equation to:

1 = h/7.3

To solve for h, we can multiply both sides of the equation by 7.3:

7.3 = h

Therefore, the height of the ladder is 7.3 meters.
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The angle of elevation of the top of a ladder leaning against a wall measured from a distance of 7.3 meters from the foot of the ladder is 45°. Suppose that the vertical height of the top of the ladder is 17.3 metres. Then, the best approximation of the angle of inclination of the ladder with the wall is:a)15°b)30°c)45°d)60°Correct answer is option 'B'. Can you explain this answer?
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The angle of elevation of the top of a ladder leaning against a wall measured from a distance of 7.3 meters from the foot of the ladder is 45°. Suppose that the vertical height of the top of the ladder is 17.3 metres. Then, the best approximation of the angle of inclination of the ladder with the wall is:a)15°b)30°c)45°d)60°Correct answer is option 'B'. Can you explain this answer? 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 The angle of elevation of the top of a ladder leaning against a wall measured from a distance of 7.3 meters from the foot of the ladder is 45°. Suppose that the vertical height of the top of the ladder is 17.3 metres. Then, the best approximation of the angle of inclination of the ladder with the wall is:a)15°b)30°c)45°d)60°Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The angle of elevation of the top of a ladder leaning against a wall measured from a distance of 7.3 meters from the foot of the ladder is 45°. Suppose that the vertical height of the top of the ladder is 17.3 metres. Then, the best approximation of the angle of inclination of the ladder with the wall is:a)15°b)30°c)45°d)60°Correct answer is option 'B'. Can you explain this answer?.
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