Final answer:
The tangent of ∠Z can be found by dividing the length of the opposite side by the length of the adjacent side. The trigonometric ratios of ∠Y and ∠Z can be compared by looking at their values for sine, cosine, and tangent. The measure of ∠Y and ∠Z can be found using inverse trigonometric functions.
option i is the correct
Step-by-step explanation:
The tangent of an angle can be found by dividing the length of the opposite side of the right triangle by the length of the adjacent side. In this case, since we know the lengths of the opposite and adjacent sides of ∠Z, we can use those values to find the tangent.
To compare the trigonometric ratios of ∠Y and ∠Z, we can look at their values for sine, cosine, and tangent. If the values are the same, then the ratios are equal.
To find the measure of ∠Y and ∠Z to the nearest tenth of a degree, we can use the inverse trigonometric functions. For ∠Y, we can use the inverse sine function and for ∠Z, we can use the inverse tangent function.