Happy little (mathematical) trees

Try more fun math problems at https://brilliant.org/tibees/

In this video I find the discriminant of a quadratic equation then solve this problem...
"On a night when the full moon is directly overhead, an outdoor Christmas tree 5m high is falling over. Its top is falling at the rate of 1m/sec, at the moment when it is 3m from
the ground. At that moment, how rapidly is the shadow of the tree cast by the moon lengthening?"

This problem was taken from this MIT exam (problem 5): https://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/exams/prfinal.pdf

This series is inspired by the painter Bob Ross and his videos on the joys of painting.

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Видео Happy little (mathematical) trees канала Tibees