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

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n ΔHIJ, the measure of ∠J=90°, HJ = 21, JI = 20,

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25.06.2021

The ratio represents the cosine of ∠H = $\frac{21}{29}$

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

So cosine of $\angle H=\frac{HI}{HJ}$

Cosine of $\angle H=\frac{21}{29}$

hence, the ratio represents the cosine of ∠H = $\frac{21}{29}$

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