Theta=51 degrees opposite=15 what is sin theta

Question

Theta=51degrees

opposite=15 

sin theta=????

Answer 1

sin51 = about 0.777

sin45 = sqr2/2 = 1.414 = 0.707

51 is a little more than 45, so the sin51 is a little more than sin45

if the opposite side =15 then the hypotenuse = 15/sin51 = 15/0.777 = about 19.3

adjacent side = square root of (19.3^2 -15^2) = about 12.1

cos51 = about 0.629 = about 12.1/19.3 = adjacent side divided by hypotenuse