Question

Please answer it now in two minutes

Answer 1

Answer:

y=4

Step-by-step explanation:

If we have a triangle with angles A, B, and C. The law of sines says that the proportion between the sin of angle A and its opposite side is equal to the proportion between the sin of angle B and its opposite side and it is equal to the proportion between the sin of angle C and its opposite side.

So, by the law of sines we can say that:

$\frac{sen(60)}{4\sqrt{3} } =\frac{sen(30)}{y}$

Solving for y, we get:

$sin(60)*y=4\sqrt{3}*sin(30)\\\frac{\sqrt{3} }{2}y=4\sqrt{3}*0.5\\ \frac{1}{2} y=4*0.5\\y = 4$

Answer 2

Answer:

y = 4

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan30° = $\frac{1}{\sqrt{3} }$ , then

tan30° = $\frac{opposite}{adjacent}$ = $\frac{y}{4\sqrt{3} }$ = $\frac{1}{\sqrt{3} }$ ( cross-  multiply )

y × $\sqrt{3}$ = 4$\sqrt{3}$ ( divide both sides by $\sqrt{3}$ )

y = 4