Question

Delta Math! Please help.

Answer 1

According to diagram, this triangle is a right angled triangle.

So we can use trigonometric ratio to find the value of x

Now,

$\:\bf{sin 60° = \frac{x}{3}}$

=> $\:\sf{\frac{\sqrt(3)}{2}= \frac{x}{3}}$

=> $\:\sf{\frac{3\sqrt(3)}{2}= x}$

Hope this helps you!

Answer 2

Answer:

x = 1.5$\sqrt{3}$

Step-by-step explanation:

using the sine ratio in the right triangle and the exact value

sin60° = $\frac{\sqrt{3} }{2}$ , then

sin60° = $\frac{opposite}{hypotenuse}$ = $\frac{x}{3}$ = $\frac{\sqrt{3} }{2}$ ( cross- multiply )

2x = 3$\sqrt{3}$ ( divide both sides by 2 )

x = 1.5$\sqrt{3}$