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A tower has a height of 50 m. It has an angle of elevation from two points on the ground level on its opposite sides are 30 degree and 60 degree respectively. Calculate the distance between two points.
(a)110.97 m
(b) 107.56 m
(c) 115.47 m
(d) 120.93 m
(e) None of the above?
(a)110.97 m
(b) 107.56 m
(c) 115.47 m
(d) 120.93 m
(e) None of the above?
Most Upvoted Answer
A tower has a height of 50 m. It has an angle of elevation from two po...
Given Data
- Height of the tower (h) = 50 m
- Angle of elevation from point A = 30 degrees
- Angle of elevation from point B = 60 degrees
Calculating Distances
1. Distance from Point A (d1):
- Use the formula: h = d1 * tan(30 degrees)
- Rearranging gives: d1 = h / tan(30 degrees)
- Substitute values: d1 = 50 / (1/√3) = 50√3 ≈ 86.60 m
2. Distance from Point B (d2):
- Use the formula: h = d2 * tan(60 degrees)
- Rearranging gives: d2 = h / tan(60 degrees)
- Substitute values: d2 = 50 / √3 ≈ 28.87 m
Finding the Distance Between Points A and B
- The total distance (D) between the two points on the ground:
- D = d1 + d2
- D = 86.60 + 28.87 ≈ 115.47 m
Conclusion
- The distance between the two points on the ground where the angles of elevation were measured is approximately 115.47 m.
- Therefore, the correct answer is (c) 115.47 m.
- Height of the tower (h) = 50 m
- Angle of elevation from point A = 30 degrees
- Angle of elevation from point B = 60 degrees
Calculating Distances
1. Distance from Point A (d1):
- Use the formula: h = d1 * tan(30 degrees)
- Rearranging gives: d1 = h / tan(30 degrees)
- Substitute values: d1 = 50 / (1/√3) = 50√3 ≈ 86.60 m
2. Distance from Point B (d2):
- Use the formula: h = d2 * tan(60 degrees)
- Rearranging gives: d2 = h / tan(60 degrees)
- Substitute values: d2 = 50 / √3 ≈ 28.87 m
Finding the Distance Between Points A and B
- The total distance (D) between the two points on the ground:
- D = d1 + d2
- D = 86.60 + 28.87 ≈ 115.47 m
Conclusion
- The distance between the two points on the ground where the angles of elevation were measured is approximately 115.47 m.
- Therefore, the correct answer is (c) 115.47 m.
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A tower has a height of 50 m. It has an angle of elevation from two points on the ground level on its opposite sides are 30 degree and 60 degree respectively. Calculate the distance between two points.(a)110.97 m(b) 107.56 m(c) 115.47 m(d) 120.93 m(e) None of the above?
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A tower has a height of 50 m. It has an angle of elevation from two points on the ground level on its opposite sides are 30 degree and 60 degree respectively. Calculate the distance between two points.(a)110.97 m(b) 107.56 m(c) 115.47 m(d) 120.93 m(e) None of the above? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A tower has a height of 50 m. It has an angle of elevation from two points on the ground level on its opposite sides are 30 degree and 60 degree respectively. Calculate the distance between two points.(a)110.97 m(b) 107.56 m(c) 115.47 m(d) 120.93 m(e) None of the above? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tower has a height of 50 m. It has an angle of elevation from two points on the ground level on its opposite sides are 30 degree and 60 degree respectively. Calculate the distance between two points.(a)110.97 m(b) 107.56 m(c) 115.47 m(d) 120.93 m(e) None of the above?.
A tower has a height of 50 m. It has an angle of elevation from two points on the ground level on its opposite sides are 30 degree and 60 degree respectively. Calculate the distance between two points.(a)110.97 m(b) 107.56 m(c) 115.47 m(d) 120.93 m(e) None of the above? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A tower has a height of 50 m. It has an angle of elevation from two points on the ground level on its opposite sides are 30 degree and 60 degree respectively. Calculate the distance between two points.(a)110.97 m(b) 107.56 m(c) 115.47 m(d) 120.93 m(e) None of the above? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tower has a height of 50 m. It has an angle of elevation from two points on the ground level on its opposite sides are 30 degree and 60 degree respectively. Calculate the distance between two points.(a)110.97 m(b) 107.56 m(c) 115.47 m(d) 120.93 m(e) None of the above?.
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A tower has a height of 50 m. It has an angle of elevation from two points on the ground level on its opposite sides are 30 degree and 60 degree respectively. Calculate the distance between two points.(a)110.97 m(b) 107.56 m(c) 115.47 m(d) 120.93 m(e) None of the above?, a detailed solution for A tower has a height of 50 m. It has an angle of elevation from two points on the ground level on its opposite sides are 30 degree and 60 degree respectively. Calculate the distance between two points.(a)110.97 m(b) 107.56 m(c) 115.47 m(d) 120.93 m(e) None of the above? has been provided alongside types of A tower has a height of 50 m. It has an angle of elevation from two points on the ground level on its opposite sides are 30 degree and 60 degree respectively. Calculate the distance between two points.(a)110.97 m(b) 107.56 m(c) 115.47 m(d) 120.93 m(e) None of the above? theory, EduRev gives you an
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