- Asked By petitpapa
- Asked on October 5, 2010

- Reopen Abandoned Water Contamination Investigations
- Save Our Oceans from Destructive Overfishing
- Demand an End to Wolf-Killing Competition
- Save Turtles from Extinction
- Stop Luxury Cruise from Destroying Arctic Glaciers
- Applaud Travel Company for Banning Elephant Tours
- Protect Arctic Wildlife from Oil Drilling
- Protect Migrating Birds from Invisible-Glass Football Stadium
- Stop Fur Farming
- Thank Tesla for Making Electric Vehicles More Accessible

1

## Answers

Though not really a “green” question, I happen to have been a math minor, so here goes:

The law of sines applies to all true two-dimensional triangles (triangles that are projected on a non-two-dimensional surface, like the earth, are not true triangles).

For example, take the triangle of angle pi/6 radians (30 degrees) on the unit cirlce. We know that the hypoteneuse is 1 (because it’s a unit circle), and that the lengths of the sides are half the square root of three and half the square root of 1 (or 1/2). The law of sines says that:

(Sin A)/a = (Sin B)/b = (Sin C)/c

or a general equality of proportions. If the hypoteneuse is a, the opposite side b, and the adjacent side c, then we have:

(Sin 90)/1 = (Sin 30)/(1/2) = (Sin 60)/(.5*sqrt(3))

All are equal to one.