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A man moving at a speed of 36 kmph covered the shadow of a tower of height 75 m in 3 seconds. If the height of the person is 1.75 m, the length of the shadow cast by the man in meters is:
- a)1.5
- b)0.7
- c)1
- d)0.5
Correct answer is option ''. Can you explain this answer?
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Verified Answer
A man moving at a speed of 36 kmph covered the shadow of a tower of h...
Distance travelled in 3 seconds with a speed of 36 kmph is =
(5/18)×(3)×(36) = 30m.
From the figure tan θ = BC/AB = 75/30 = 5/2
The height of the person is 1.75 m
Let the length of the shadow be x m.
tan θ = 1.75/x ⇒ 52 = 1.75/x
⇒ x = 1.75/5(2) = 0.7
Most Upvoted Answer
A man moving at a speed of 36 kmph covered the shadow of a tower of h...
Solution:
Given, speed of the man = 36 kmph = 10 m/s
Height of the tower = 75 m
Time taken to cover the shadow of the tower = 3 seconds
Height of the man = 1.75 m
Let the length of the shadow cast by the man be 'x' meters.
We know that the ratio of the heights of the tower and its shadow is equal to the ratio of the heights of the man and his shadow.
i.e., Height of the tower / Length of its shadow = Height of the man / Length of his shadow
=> 75 / x = 1.75 / (x - h) (where h is the height of the man's shadow)
=> 75(x - h) = 1.75x
=> 75x - 75h = 1.75x
=> 73.25x = 75h
=> x = 75h / 73.25
Now, we need to find the length of the man's shadow i.e., 'h'
We know that, distance = speed × time
Length of the man's shadow = speed × time
=> h = 10 × 3
=> h = 30 meters
Substituting the value of 'h' in the equation we get,
x = 75h / 73.25
=> x = (75 × 30) / 73.25
=> x = 30.75 meters
Hence, the length of the shadow cast by the man is 0.75 meters (approx).
Therefore, the correct option is (d) 0.5.
Given, speed of the man = 36 kmph = 10 m/s
Height of the tower = 75 m
Time taken to cover the shadow of the tower = 3 seconds
Height of the man = 1.75 m
Let the length of the shadow cast by the man be 'x' meters.
We know that the ratio of the heights of the tower and its shadow is equal to the ratio of the heights of the man and his shadow.
i.e., Height of the tower / Length of its shadow = Height of the man / Length of his shadow
=> 75 / x = 1.75 / (x - h) (where h is the height of the man's shadow)
=> 75(x - h) = 1.75x
=> 75x - 75h = 1.75x
=> 73.25x = 75h
=> x = 75h / 73.25
Now, we need to find the length of the man's shadow i.e., 'h'
We know that, distance = speed × time
Length of the man's shadow = speed × time
=> h = 10 × 3
=> h = 30 meters
Substituting the value of 'h' in the equation we get,
x = 75h / 73.25
=> x = (75 × 30) / 73.25
=> x = 30.75 meters
Hence, the length of the shadow cast by the man is 0.75 meters (approx).
Therefore, the correct option is (d) 0.5.
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A man moving at a speed of 36 kmph covered the shadow of a tower of height 75 m in 3 seconds. If the height of the person is 1.75 m, the length of the shadow cast by the man in meters is:a)1.5b)0.7c)1d)0.5Correct answer is option ''. Can you explain this answer?
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A man moving at a speed of 36 kmph covered the shadow of a tower of height 75 m in 3 seconds. If the height of the person is 1.75 m, the length of the shadow cast by the man in meters is:a)1.5b)0.7c)1d)0.5Correct answer is option ''. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A man moving at a speed of 36 kmph covered the shadow of a tower of height 75 m in 3 seconds. If the height of the person is 1.75 m, the length of the shadow cast by the man in meters is:a)1.5b)0.7c)1d)0.5Correct answer is option ''. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man moving at a speed of 36 kmph covered the shadow of a tower of height 75 m in 3 seconds. If the height of the person is 1.75 m, the length of the shadow cast by the man in meters is:a)1.5b)0.7c)1d)0.5Correct answer is option ''. Can you explain this answer?.
A man moving at a speed of 36 kmph covered the shadow of a tower of height 75 m in 3 seconds. If the height of the person is 1.75 m, the length of the shadow cast by the man in meters is:a)1.5b)0.7c)1d)0.5Correct answer is option ''. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A man moving at a speed of 36 kmph covered the shadow of a tower of height 75 m in 3 seconds. If the height of the person is 1.75 m, the length of the shadow cast by the man in meters is:a)1.5b)0.7c)1d)0.5Correct answer is option ''. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man moving at a speed of 36 kmph covered the shadow of a tower of height 75 m in 3 seconds. If the height of the person is 1.75 m, the length of the shadow cast by the man in meters is:a)1.5b)0.7c)1d)0.5Correct answer is option ''. Can you explain this answer?.
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