It’s 81°
Do the Pythagoras theorem first:
1.6^2+10^2= 102.56
Then square root 102.56
=10.2 (rounded)
Then the hypotenuse is 10.2
Then apply the Sine rule:
Sin A/ a = Sin B/ b = Sin C/ c
Substitute the values into the formula:
Sin 90/ 10.2 = sin x/ 10
Obviously we need to get sin x alone so we need to move the 10 into the fraction of Sin 90/10.2.
Shown here:
10Sin(90)/ 10.12
This equals sin x = 0.988
Then we need to get x alone:
Therefore we make Sin into a minus:
Sin^-
Which leads us to:
x°= sin ^- (0.988)
To 81.11
Found that and x° is
x= 81°
I hope this was helpful and I couldnt take a picture because it wouldn’t fit, oops .