Mathematics: I need to find the value of x and y. HELP PLEASE

Step-by-step explanation:It C....

I need to find the value of x and y. HELP PLEASE

amayaroberson3476

31.01.2022

The answer is option C

Step-by-step explanation:

Since the triangle is a right angled triangle we can use trigonometric ratios to find x and y

For x

In order to find x we use tan

tan∅ = opposite/ adjacent

From the question

The opposite is 4

The adjacent is x

Substitute the values into the above formula

That's

$\tan(30) = \frac{4}{x} \\ x \tan(30) = 4 \\ x = \frac{4}{ \tan(30) }$

We have the answer as

$x = 4 \sqrt{3}$ For y

In order to find y we use sine

sin ∅ = opposite / hypotenuse

From the question

The opposite is 4

The hypotenuse is y

So we have

$\sin(30) = \frac{4}{y} \\ y \sin(30) = 4 \\ y = \frac{4}{ \sin(30) }$

We have the answer as

y = 8

Hope this helps you

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