Respuesta :

Answer:

The answer is option B

Step-by-step explanation:

Since the figure above is a right angled triangle we can use trigonometric ratios to find y

To find y we use tan

tan∅ = opposite/ adjacent

From the question

[tex] \frac{7 \sqrt{2} }{2} [/tex] is the adjacent

The opposite is y

So we have

[tex] \tan(45) = \frac{y}{ \frac{7 \sqrt{2} }{2} } [/tex]

But

[tex] \tan(45) = 1[/tex]

That's

[tex]1 = \frac{y}{ \frac{7 \sqrt{2} }{2} } [/tex]

Cross multiply

We have the final answer as

[tex]y = \frac{7 \sqrt{2} }{2} [/tex]

Hope this helps you