Math

Great 1957 Math Problem – How Tall Is The Tower?

Thanks to Mike Painter for emailing me! This problem comes from a 1957 math class. A man is standing due East of a tower and notes it subtends an angle of 45 degrees with the tower. He walks South 42.4 feet and the subtended angle is 30 degrees. How tall is the tower? (The subtended angle is from the ground to the top of the tower.) Remember this problem is from 1957, so you can only use pencil and paper!

After making the video, I learned of a very similar problem from an even older text from around 1900, pretty neat!
https://books.google.com/books?id=96hXAAAAYAAJ&dq=height%20of%20tower%20man%20due%20east%20south&pg=PA254#v=onepage&q&f=false

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