Question

Refer to the figure to complete the proportion. x/h = ?/y. A. y B. x C. a D. h

Answer 1

the picture in the attached figure

we know that
in the right triangle ABD
tan A=BD/AD------>tan A= h/x-----> sin A/cos A=h/x-----> equation 1

in the right triangle ABC
cos C=DC/BC----> cos C=y/a-------> equation 2
sin C=BD/BC-----> sin C=h/a------> equation 3

remember that
angle A +angle C=90 degrees-----> by complementary angles
so
cos A=sin C
sin A=cos C

substitute equation 2 and equation 3 in equation 1
sin A/cos A=h/x-----> (y/a)/(h/a)=h/x-------> (y/h)=(h/x)
then
x/h=h/y

therefore 
the term to complete the proportion is h

the answer is
h