My Way

Geometry Level 1

Two people start walking at the same time from the same spot towards their respective directions, forming a 6 0 60^\circ angle. Their speeds are 2 2 m and 3 3 m per second, respectively. What is the distance between them (in meters) 11 11 seconds after the start?

13 7 13\sqrt{7} 10 7 10\sqrt{7} 11 7 11\sqrt{7} 12 7 12\sqrt{7}

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2 solutions

Anubhav Sharma
Feb 26, 2014

I do not know the certain formula for solving this problem. But I will tell you how I did it. The problem says that the speeds were 2 m / sec and 3 m / sec. So after 11 sec they travel 22 m and 33 m. They form an angle of 60. Now I drew a figure in the paper. But the distance is too long. So, I drew the scale figure of 22 mm and the 33 mm. The angle between them is 60 degrees. Then I measured the distance between which gave me 28 mm. As per the scale I converted the drawing length into actual length i. e. to 28 meters. Then I calculated the value of all the options given there which led me to 26, 34, 29 and 31. ( I just took the whole numbers ) 29 is the closest value to my answer 28. The corresponding option for 29 is 11sqrt{7}. Hence, final answer is 11sqrt{7}

It's logical

Thomas Antony - 7 years, 3 months ago

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Thanks

Anubhav Sharma - 7 years, 3 months ago
Sundar Achieves
Apr 19, 2014

We can use sine rule

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