Question

Determine the measure of ∠Y. images attached

Answer 1

Answer:

The answer is option C

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

$\tan(∠Y) = \frac{25}{20} \\ \tan(∠Y) = \frac{5}{4} \\ ∠Y = { \tan^{ - 1} } \frac{5}{4} \\ ∠Y = 51.34019...$

We have the final answer as

51.34°

Hope this helps you

Answer 2

Answer:

C

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanY = $\frac{opposite}{adjacent}$ = $\frac{XZ}{XY}$ = $\frac{25}{20}$ , thus

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