Right triangle FHG is shown

*The sine of angle F is 0.53
What is the cosine of angle H? Round the answer to the nearest hundredth

2 answers

I assume G is 90 degrees
then F + H is 90 degrees
that means the cosine of H is the sine of F
sin F = f/g opposite/hypotenuse
cos H = f/g adjacent / hypotenuse
If you look at the triangle, since the sine of F is 0.53, then the cosine of H is also 0.53.
The opposite and hypotenuse of F are also the adjacent and hypotenuse of H, therefore their values are the same.