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A man standing on the terrace of a building watches a car speeding towards him. If at that particular instant the car is 200 m away from the building makes an angle of depression of 60° with the man’s eye and after 8 seconds the angle of depression is 30°, what is the speed of the car?
- a)15 m/s
- b)25 m/s
- c)16.67 m/s
- d)Cannot be determined
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A man standing on the terrace of a building watches a car speeding tow...
Let AB be the building and the man is standing at A.
When the car is 200m away from the building, the angle of depression is 60°
tan 60° = BD/AB = √3
⇒ 200/AB = √3
⇒ AB = 115.47 m
⇒ tan30° =BC/AB = x/115.47 = 1/√3
⇒ x = 66.67
Now, the car travels distance CD in 8 seconds
CD = BD – BC = 200 – 66.67 = 133.33 m
Speed = 133.33/8 = 16.67 m/sAttention SSC CGL Students!
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A man standing on the terrace of a building watches a car speeding towards him. If at that particular instant the car is 200 m away from the building makes an angle of depression of 60° with the man’s eye and after 8 seconds the angle of depression is 30°, what is the speed of the car?a)15 m/sb)25 m/sc)16.67 m/sd)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?
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A man standing on the terrace of a building watches a car speeding towards him. If at that particular instant the car is 200 m away from the building makes an angle of depression of 60° with the man’s eye and after 8 seconds the angle of depression is 30°, what is the speed of the car?a)15 m/sb)25 m/sc)16.67 m/sd)Cannot be determinedCorrect answer is option 'C'. 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 A man standing on the terrace of a building watches a car speeding towards him. If at that particular instant the car is 200 m away from the building makes an angle of depression of 60° with the man’s eye and after 8 seconds the angle of depression is 30°, what is the speed of the car?a)15 m/sb)25 m/sc)16.67 m/sd)Cannot be determinedCorrect answer is option 'C'. 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 A man standing on the terrace of a building watches a car speeding towards him. If at that particular instant the car is 200 m away from the building makes an angle of depression of 60° with the man’s eye and after 8 seconds the angle of depression is 30°, what is the speed of the car?a)15 m/sb)25 m/sc)16.67 m/sd)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?.
A man standing on the terrace of a building watches a car speeding towards him. If at that particular instant the car is 200 m away from the building makes an angle of depression of 60° with the man’s eye and after 8 seconds the angle of depression is 30°, what is the speed of the car?a)15 m/sb)25 m/sc)16.67 m/sd)Cannot be determinedCorrect answer is option 'C'. 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 A man standing on the terrace of a building watches a car speeding towards him. If at that particular instant the car is 200 m away from the building makes an angle of depression of 60° with the man’s eye and after 8 seconds the angle of depression is 30°, what is the speed of the car?a)15 m/sb)25 m/sc)16.67 m/sd)Cannot be determinedCorrect answer is option 'C'. 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 A man standing on the terrace of a building watches a car speeding towards him. If at that particular instant the car is 200 m away from the building makes an angle of depression of 60° with the man’s eye and after 8 seconds the angle of depression is 30°, what is the speed of the car?a)15 m/sb)25 m/sc)16.67 m/sd)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?.
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