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-BARSIC- [3]
3 years ago
14

Determine the measure of ∠Y. images attached

Mathematics
2 answers:
Gwar [14]3 years ago
5 0

Answer:

<h3>The answer is option C</h3>

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

<h3>51.34°</h3>

Hope this helps you

raketka [301]3 years ago
5 0

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

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