Sam climbs up a 40/andradic;3metres long ladder that is inclined at an angle of 60 to the ground. Upon reaching the upper edge of the ladder, he drops a coin to the ground. If the time taken, in seconds, by an object to drop by a height of h meters is equal to , then how much time does the coin dropped by Sam take to reach the ground?a)1 secondb)andradic;8/3 secondsc)2 secondsd) secondse)4 secondsCorrect answer is option 'C'. Can you explain this answer?

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GMAT Exam > GMAT Questions > Sam climbs up a 40/√3metres long ladder...

, then how much time does the coin dropped by Sam take to reach the ground?

a)
1 second
b)
√8/3 seconds
c)
2 seconds
d)
seconds
e)
4 seconds

Correct answer is option 'C'. Can you explain this answer?

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Verified Answer

Sam climbs up a 40/√3metres long ladder that is inclined at an a...

Given

A ladder inclined at an angle of 60 to the ground as shown below:

Let the height from which the coin falls be h meter
Time taken to fall =

seconds

To Find : Time taken to fall

Approach

We need to find the time taken by the coin to fall
- Time taken to fall = seconds
- Since the value of time taken depends on h, we will need to find the value of h first
  - The ladder, ground and the wall form a right triangle
  - Since we know a side and an angle in this triangle, we can find h by using trigonometric ratios

Woeking out:

Since the right angled triangle is a 30-60-90 Triangle, we can write -

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Sam climbs up a 40/√3metres long ladder that is inclined at an angle of 60 to the ground. Upon reaching the upper edge of the ladder, he drops a coin to the ground. If the time taken, in seconds, by an object to drop by a height of h meters is equal to , then how much time does the coin dropped by Sam take to reach the ground?a)1 secondb)√8/3 secondsc)2 secondsd) secondse)4 secondsCorrect answer is option 'C'. Can you explain this answer?

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