Question

Determine the measure of ∠Y. images attached

Answer 1

C

Explanation:

Using the tangent ratio in the right triangle

tanY =
`(opposite)/(adjacent)` =
`(XZ)/(XY)` =
`(25)/(20)` , thus

∠ Y =
`tan^(-1)` (
`(25)/(20)` ) ≈ 51.34° → C

Answer 2

The answer is option C

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

We have the final answer as

51.34°

Hope this helps you