Question

Right triangle FHG is shown. The cosine of

Answer 1

sin(H)=0.91

Explanation:

The question is

Right triangle FHG is shown. The cosine of ∠F is 0.91. What is the sine of ∠H?

The triangle FHG is a right triangle

we know that

If two angles are complementary, the co-function identities state that the sine of one equals the cosine of the other and vice versa

In this problem

∠F and ∠H are complementary angles (their sum is equal to 90 degrees)

so

sin(H)=cos(F)

sin(F)=cos(H)

we have

cos(F)=0.91

therefore

sin(H)=0.91