Answer:
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
[tex] \tan(30) = \frac{4}{x} \\ x \tan(30) = 4 \\ x = \frac{4}{ \tan(30) } [/tex]
We have the answer as
[tex]x = 4 \sqrt{3} [/tex]
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
[tex] \sin(30) = \frac{4}{y} \\ y \sin(30) = 4 \\ y = \frac{4}{ \sin(30) } [/tex]
We have the answer as
y = 8
Hope this helps you
