While trying to get to sleep, Seth counts 30°–60°–90° triangles instead of sheep
[1]
Like Jacob, Seth has a vision. Not of angels, but of 30° –60°–90° triangles.
The triangles are drifting down from the Empyrean heaven and forming a large triangle. An infinite number of triangles trickle down to finally complete the stack. Seth stops counting when he reaches Avogadro’s number of triangles, then sleeps.
The right edge of the stack of triangles forms a vertical line.
The bottom most triangle has an area of 506.25 square meters.
Find the area A of the entire stack when the last triangle finally hits the stack.
Send your answer to [email protected] [2] for a chance to win a Tucker’s ice cream gift card.
Last week’s winner [3] was Brian Donovan with the time of death t = 2 a.m.
Jeff Smith is a former Math teacher and a retired US Navy Lieutenant Commander. Reach him at [email protected] [2].