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Mohit is standing at some distance from a 60-meter tall building. Mohit is 1.8-metre tall. When Mohit walks towards the building, the angle of elevation from his head becomes 60° from 45°. How much distance (in meters) does Mohit cover towards the building?
- a)18.6(4 - √3)
- b)58.2 - 24.6 √3
- c)19.4(√3 + 1)
- d)19.4(3 - √3)
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Mohit is standing at some distance from a 60-meter tall building. Moh...
Given information:
- Mohit is standing at a certain distance from a 60-meter tall building.
- Mohit's height is 1.8 meters.
- The angle of elevation from Mohit's head to the top of the building changes from 45° to 60° as Mohit walks towards the building.
- We need to find the distance Mohit covers towards the building.
Let's solve this step by step:
1. Understanding the problem:
- The angle of elevation is the angle formed between the line of sight and the horizontal line.
- As Mohit walks towards the building, the angle of elevation increases from 45° to 60°.
- We need to find the distance Mohit covers towards the building.
2. Breaking down the problem:
- We can consider two right-angled triangles in this scenario:
- Triangle 1: Mohit's initial position, with an angle of elevation of 45°.
- Triangle 2: Mohit's final position, with an angle of elevation of 60°.
- We need to find the difference in distance covered by Mohit towards the building in these two positions.
3. Calculating the distance covered:
- Let the initial distance of Mohit from the building be x meters.
- In Triangle 1, the opposite side (height of the building) is 60 meters, and the adjacent side is x meters.
- In Triangle 2, the opposite side (height of the building) is still 60 meters, and the adjacent side is (x - d) meters, where d is the distance Mohit covers towards the building.
- Using the tangent function, we can write the following equations:
- tan(45°) = 60 / x
- tan(60°) = 60 / (x - d)
- We can solve these two equations to find the value of d.
4. Solving the equations:
- tan(45°) = 1, and tan(60°) = √3.
- Substituting these values in the equations, we get:
- 1 = 60 / x
- √3 = 60 / (x - d)
- Rearranging the equations, we get:
- x = 60
- x - d = 60 / √3
- Solving these equations, we find:
- d = x - x / √3
- d = x(1 - 1 / √3)
- d = x(√3 - 1) / √3
- d = 60(√3 - 1) / √3
- d = 60(3 - √3) / 3√3
- d = 20(3 - √3) / √3
- d = 20(3√3 - √3) / 3
- d = 20(2√3) / 3
- d = 40√3 / 3
- d ≈ 23.09 meters
5. Final answer:
- Mohit covers approximately 23.09 meters towards the building.
- Mohit is standing at a certain distance from a 60-meter tall building.
- Mohit's height is 1.8 meters.
- The angle of elevation from Mohit's head to the top of the building changes from 45° to 60° as Mohit walks towards the building.
- We need to find the distance Mohit covers towards the building.
Let's solve this step by step:
1. Understanding the problem:
- The angle of elevation is the angle formed between the line of sight and the horizontal line.
- As Mohit walks towards the building, the angle of elevation increases from 45° to 60°.
- We need to find the distance Mohit covers towards the building.
2. Breaking down the problem:
- We can consider two right-angled triangles in this scenario:
- Triangle 1: Mohit's initial position, with an angle of elevation of 45°.
- Triangle 2: Mohit's final position, with an angle of elevation of 60°.
- We need to find the difference in distance covered by Mohit towards the building in these two positions.
3. Calculating the distance covered:
- Let the initial distance of Mohit from the building be x meters.
- In Triangle 1, the opposite side (height of the building) is 60 meters, and the adjacent side is x meters.
- In Triangle 2, the opposite side (height of the building) is still 60 meters, and the adjacent side is (x - d) meters, where d is the distance Mohit covers towards the building.
- Using the tangent function, we can write the following equations:
- tan(45°) = 60 / x
- tan(60°) = 60 / (x - d)
- We can solve these two equations to find the value of d.
4. Solving the equations:
- tan(45°) = 1, and tan(60°) = √3.
- Substituting these values in the equations, we get:
- 1 = 60 / x
- √3 = 60 / (x - d)
- Rearranging the equations, we get:
- x = 60
- x - d = 60 / √3
- Solving these equations, we find:
- d = x - x / √3
- d = x(1 - 1 / √3)
- d = x(√3 - 1) / √3
- d = 60(√3 - 1) / √3
- d = 60(3 - √3) / 3√3
- d = 20(3 - √3) / √3
- d = 20(3√3 - √3) / 3
- d = 20(2√3) / 3
- d = 40√3 / 3
- d ≈ 23.09 meters
5. Final answer:
- Mohit covers approximately 23.09 meters towards the building.
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Community Answer
Mohit is standing at some distance from a 60-meter tall building. Moh...
Height of the building from the head of Mohit = 60 - 1.8 = 58.2 m
Case I: When the angle of elevation is 45°
Distance from building (AC) = 58.2 m
Case II: When the angle of elevation is 60°
Distance from the building (BC) =
Distance covered by Mohit (AB) = AC - BC =
= (19.4 × 3) - (19.4 × √3)
= 19.4 (3 - √3)m
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Mohit is standing at some distance from a 60-meter tall building. Mohit is 1.8-metre tall. When Mohit walks towards the building, the angle of elevation from his head becomes 60° from 45°. How much distance (in meters) does Mohit cover towards the building?a)18.6(4 - √3)b)58.2 - 24.6 √3c)19.4(√3 + 1)d)19.4(3 - √3)Correct answer is option 'D'. Can you explain this answer?
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Mohit is standing at some distance from a 60-meter tall building. Mohit is 1.8-metre tall. When Mohit walks towards the building, the angle of elevation from his head becomes 60° from 45°. How much distance (in meters) does Mohit cover towards the building?a)18.6(4 - √3)b)58.2 - 24.6 √3c)19.4(√3 + 1)d)19.4(3 - √3)Correct answer is option 'D'. Can you explain this answer? 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 Mohit is standing at some distance from a 60-meter tall building. Mohit is 1.8-metre tall. When Mohit walks towards the building, the angle of elevation from his head becomes 60° from 45°. How much distance (in meters) does Mohit cover towards the building?a)18.6(4 - √3)b)58.2 - 24.6 √3c)19.4(√3 + 1)d)19.4(3 - √3)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mohit is standing at some distance from a 60-meter tall building. Mohit is 1.8-metre tall. When Mohit walks towards the building, the angle of elevation from his head becomes 60° from 45°. How much distance (in meters) does Mohit cover towards the building?a)18.6(4 - √3)b)58.2 - 24.6 √3c)19.4(√3 + 1)d)19.4(3 - √3)Correct answer is option 'D'. Can you explain this answer?.
Mohit is standing at some distance from a 60-meter tall building. Mohit is 1.8-metre tall. When Mohit walks towards the building, the angle of elevation from his head becomes 60° from 45°. How much distance (in meters) does Mohit cover towards the building?a)18.6(4 - √3)b)58.2 - 24.6 √3c)19.4(√3 + 1)d)19.4(3 - √3)Correct answer is option 'D'. Can you explain this answer? 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 Mohit is standing at some distance from a 60-meter tall building. Mohit is 1.8-metre tall. When Mohit walks towards the building, the angle of elevation from his head becomes 60° from 45°. How much distance (in meters) does Mohit cover towards the building?a)18.6(4 - √3)b)58.2 - 24.6 √3c)19.4(√3 + 1)d)19.4(3 - √3)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mohit is standing at some distance from a 60-meter tall building. Mohit is 1.8-metre tall. When Mohit walks towards the building, the angle of elevation from his head becomes 60° from 45°. How much distance (in meters) does Mohit cover towards the building?a)18.6(4 - √3)b)58.2 - 24.6 √3c)19.4(√3 + 1)d)19.4(3 - √3)Correct answer is option 'D'. Can you explain this answer?.
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