Question

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

Answer 1

The answer is option C

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) = (4)/(x) \\ x \tan(30) = 4 \\ x = (4)/( \tan(30) )`

We have the answer as

`x = 4 √(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) = (4)/(y) \\ y \sin(30) = 4 \\ y = (4)/( \sin(30) )`

We have the answer as

y = 8

Hope this helps you