Determine the measure of ∠Y. images attached

Answer:

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of ∠Y

To find the value of ∠Y we use tan

We have

[tex] \tan(∠Y) = \frac{25}{20} \\ \tan(∠Y) = \frac{5}{4} \\ ∠Y = { \tan^{ - 1} } \frac{5}{4} \\ ∠Y = 51.34019...[/tex]

We have the final answer as

Hope this helps you

Answer:

C

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanY = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{XZ}{XY}[/tex] = [tex]\frac{25}{20}[/tex] , thus

∠ Y = [tex]tan^{-1}[/tex] ( [tex]\frac{25}{20}[/tex] ) ≈ 51.34° → C

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