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For The Mathematically Inclined

Anil Saigal
12/06/2018

Problem 1:

Honza is 13 years old and Peter 21 years old. After how many years are their ages will be at ratio 7: 9?

Problem 2:

A man divides $10,000 into two investments, one returns 5% and the other at 8% per year. The returns are compounded into the principal. Find how much is invested at each rate so that the two investments produce the same return after 10 years.

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Problems from 11/22/18

Problem 1:

The top of the pole we see at an angle of 45Â°. If we approach the pole by 10 m, we see the top of the pole at an angle of 60Â°. What is the height of the pole?

Problem 2:

A plane flies at altitude 6500 m. At the time of first measurement was to see the elevation angle of 21Â° and second measurement of the elevation angle of 46Â°.

Calculate the distance the plane flew between the two measurements.

Congratulations to Ramachandran Balakrishna who was the winner of the last set of puzzles

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