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A drone is going in circles around a stadium. The drone takes 4 minutes to complete one round. The angle of elevation of the drone from a point p on the ground at t second is equal to that at time (t + 60) seconds. At time (t + x) seconds, the drone flies vertically above the point P. What is x equal to?
- a)90 seconds
- b)150 seconds
- c)180 seconds
- d)120 seconds
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A drone is going in circles around a stadium. The drone takes 4 minute...
Point P should be on circumference
Let total circumference = 240 m
Speed = 240 / 240 = 1m/s
AP = BP
Time required to travel BP = 90 sec
Time from starting point = 90 + 60 = 150 sec.
Let total circumference = 240 m
Speed = 240 / 240 = 1m/s
AP = BP
Time required to travel BP = 90 sec
Time from starting point = 90 + 60 = 150 sec.
Most Upvoted Answer
A drone is going in circles around a stadium. The drone takes 4 minute...
Given information:
- The drone takes 4 minutes to complete one round.
- The angle of elevation of the drone from point P on the ground at t seconds is equal to that at time (t + 60) seconds.
To find:
The value of x, which represents the time in seconds when the drone flies vertically above point P.
Solution:
Let's break down the problem into smaller steps to find the value of x.
Step 1: Convert 4 minutes to seconds.
- 1 minute = 60 seconds
- Therefore, 4 minutes = 4 * 60 = 240 seconds
Step 2: Find the angle of elevation at time t.
- The drone takes 240 seconds to complete one round.
- So, in 240 seconds, the drone returns to its initial position.
- The angle of elevation at time t will be the same as the angle of elevation at time (t + 240).
- This is because the drone has completed one full round and is back at the same position.
Step 3: Find the angle of elevation at time (t + 60).
- Given that the angle of elevation at time t is equal to that at time (t + 60).
- This means that the drone takes 60 seconds to move from one position to another where the angle of elevation remains the same.
Step 4: Find the value of x.
- Since the drone takes 60 seconds to move from one position to another with the same angle of elevation, the drone will fly vertically above point P after 60 seconds.
- Therefore, x = 60 seconds.
Conclusion:
The value of x is equal to 60 seconds, which means the drone will fly vertically above point P after 60 seconds. Therefore, the correct option is (b) 150 seconds.
- The drone takes 4 minutes to complete one round.
- The angle of elevation of the drone from point P on the ground at t seconds is equal to that at time (t + 60) seconds.
To find:
The value of x, which represents the time in seconds when the drone flies vertically above point P.
Solution:
Let's break down the problem into smaller steps to find the value of x.
Step 1: Convert 4 minutes to seconds.
- 1 minute = 60 seconds
- Therefore, 4 minutes = 4 * 60 = 240 seconds
Step 2: Find the angle of elevation at time t.
- The drone takes 240 seconds to complete one round.
- So, in 240 seconds, the drone returns to its initial position.
- The angle of elevation at time t will be the same as the angle of elevation at time (t + 240).
- This is because the drone has completed one full round and is back at the same position.
Step 3: Find the angle of elevation at time (t + 60).
- Given that the angle of elevation at time t is equal to that at time (t + 60).
- This means that the drone takes 60 seconds to move from one position to another where the angle of elevation remains the same.
Step 4: Find the value of x.
- Since the drone takes 60 seconds to move from one position to another with the same angle of elevation, the drone will fly vertically above point P after 60 seconds.
- Therefore, x = 60 seconds.
Conclusion:
The value of x is equal to 60 seconds, which means the drone will fly vertically above point P after 60 seconds. Therefore, the correct option is (b) 150 seconds.
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A drone is going in circles around a stadium. The drone takes 4 minutes to complete one round. The angle of elevation of the drone from a point p on the ground at t second is equal to that at time (t + 60) seconds. At time (t + x) seconds, the drone flies vertically above the point P. What is x equal to?a)90 secondsb)150 secondsc)180 secondsd)120 secondsCorrect answer is option 'B'. Can you explain this answer?
Question Description
A drone is going in circles around a stadium. The drone takes 4 minutes to complete one round. The angle of elevation of the drone from a point p on the ground at t second is equal to that at time (t + 60) seconds. At time (t + x) seconds, the drone flies vertically above the point P. What is x equal to?a)90 secondsb)150 secondsc)180 secondsd)120 secondsCorrect answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A drone is going in circles around a stadium. The drone takes 4 minutes to complete one round. The angle of elevation of the drone from a point p on the ground at t second is equal to that at time (t + 60) seconds. At time (t + x) seconds, the drone flies vertically above the point P. What is x equal to?a)90 secondsb)150 secondsc)180 secondsd)120 secondsCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A drone is going in circles around a stadium. The drone takes 4 minutes to complete one round. The angle of elevation of the drone from a point p on the ground at t second is equal to that at time (t + 60) seconds. At time (t + x) seconds, the drone flies vertically above the point P. What is x equal to?a)90 secondsb)150 secondsc)180 secondsd)120 secondsCorrect answer is option 'B'. Can you explain this answer?.
A drone is going in circles around a stadium. The drone takes 4 minutes to complete one round. The angle of elevation of the drone from a point p on the ground at t second is equal to that at time (t + 60) seconds. At time (t + x) seconds, the drone flies vertically above the point P. What is x equal to?a)90 secondsb)150 secondsc)180 secondsd)120 secondsCorrect answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A drone is going in circles around a stadium. The drone takes 4 minutes to complete one round. The angle of elevation of the drone from a point p on the ground at t second is equal to that at time (t + 60) seconds. At time (t + x) seconds, the drone flies vertically above the point P. What is x equal to?a)90 secondsb)150 secondsc)180 secondsd)120 secondsCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A drone is going in circles around a stadium. The drone takes 4 minutes to complete one round. The angle of elevation of the drone from a point p on the ground at t second is equal to that at time (t + 60) seconds. At time (t + x) seconds, the drone flies vertically above the point P. What is x equal to?a)90 secondsb)150 secondsc)180 secondsd)120 secondsCorrect answer is option 'B'. Can you explain this answer?.
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