Answer:
[tex]m\angle B=14^o[/tex]
Step-by-step explanation:
we know that
In this problem, if angle A and angle B are complementary, then triangle ABC is a right triangle
If two angles are complementary, then their sum is equal to 90 degrees and the cofunction identities state that the sine of one equals the cosine of the other and vice versa
so
sin(A)=cos(B)
cos(A)=sin(B)
we have
[tex]cos(A)=0.24[/tex]
therefore
[tex]sin(B)=cos(A)=0.24[/tex]
Find the measure of angle B
[tex]m\angle B=sin^{-1}(0.24)=14^o[/tex]
