Answer:
Solution given:
<C=90°
<B=48.7°
a=?
<A=?
b=?
Now
In right angled triangle
<A+<B+<C=180°[Sum of interior angle of a triangle is 180°]
<A+48.7+90=180°
<A=180-90-48.7
<A=41.3°
again
Sin 48.7=perpendicular/hypotenuse=b/c
b=sin 48.7°×16
b=12
again
Cos 48.7°=base/hypotenuse=a/c
a=Cos 48.7°×c
a=Cos 48.7°×16
a=10.6
So ,answer is:D.m<A=41.3°,a=10.6 and b=12.