Question

n ΔHIJ, the measure of ∠J=90°, HJ = 21, JI = 20, and IH = 29. What ratio represents the cosine of ∠H?

Answer 1

Answer: The ratio represents the cosine of ∠H =
`(21)/(29)`

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 =
`\frac{\text{side adjacent to x}}{\text{Hypotenuse}}`

So cosine of
`\angle H=(HI)/(HJ)`

Cosine of
`\angle H=(21)/(29)`

hence, the ratio represents the cosine of ∠H =
`(21)/(29)`