Math1 question:

In right triangle ABC in the figure above, if sin A = 0.6, what is sin B?

A) 0.36

B) 0.40

C) 0.60

D) 0.64

E) 0.80

A couple ways to go about understanding this one. I think the easiest way is just to recognize that 0.6 = 6/10, so you can assume that the side opposite angle *A* is 6, and the hypotenuse is 10. Of course, that’d make a convenient Pythagorean Triple: always be on the lookout for 3-4-5s and their bigger cousins 6-8-10s!

So if one leg is 6, and the hypotenuse is 10, then the other leg *must* be 8. Therefore, the sine of angle *B* is 8/10 = 0.8.