Question

Please help me on this problem !

Answer 1

Answer:

x = 5 , y = 5$\sqrt{3}$

Step-by-step explanation:

Using the sine and cosine ratios in the right triangle and exact values.

sin30° = $\frac{1}{2}$ , cos30° = $\frac{\sqrt{3} }{2}$ , then

sin30°= $\frac{opposite}{hypotenuse}$ = $\frac{x}{10}$ = $\frac{1}{2}$ ( cross- multiply )

2x = 10 ( divide both sides by 2 )

x = 5

and

cos30° = $\frac{adjacent}{hypotenuse}$ = $\frac{y}{10}$ = $\frac{\sqrt{3} }{2}$ ( cross- multiply )

2y = 10$\sqrt{3}$ ( divide both sides by 2 )

y = 5$\sqrt{3}$