For The Mathematically Inclined

For The Mathematically Inclined

Anil Saigal
11/19/2018

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.

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Problems from 11/08/18

Problem 1:

A lamp is used to light during Diwali hold oil up to its brim. The diameter of the lamp is 10 cm and the height is 3 cm. Assume the lamp is cut from a sphere at the height of 3 cm from base and ignore the thickness of the lamp. How many liters of oil does a single lamp hold?

(A picture of lamp is shown on the side)

Problem 2:

If the lamp in Problem 1 can burn for 12 hours, what is the height of the oil in the lamp after 6 hours.

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

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