Answer: The ratio represents the cosine of ∠H = [tex]\frac{21}{29}[/tex]
Step-by-step explanation:
Given, In right triangle ΔHIJ, the measure of ∠J=90°, HJ = 21, JI = 20, and IH = 29.
To find: The ratio represents the cosine of ∠H.
According to trigonometry, the cosine of x = [tex]\frac{\text{side adjacent to x}}{\text{Hypotenuse}}[/tex]
So cosine of [tex]\angle H=\frac{HI}{HJ}[/tex]
Cosine of [tex]\angle H=\frac{21}{29}[/tex]
hence, the ratio represents the cosine of ∠H = [tex]\frac{21}{29}[/tex]
